First you need to call completion when all of your data is loaded. In your case you call completion(tracksArray) before any of the getSavedTracks return.
For this part I suggest you to recursively accumulate tracks by going through all pages. There are multiple better tools to do so but I will give a raw example of it:
class TracksModel {
    
    static func fetchAllPages(completion: @escaping ((_ tracks: [Track]?) -> Void)) {
        var offset: Int = 0
        let limit: Int = 50
        var allTracks: [Track] = []
        
        func appendPage() {
            fetchSavedMusicPage(offset: offset, limit: limit) { tracks in
                guard let tracks = tracks else {
                    completion(allTracks) // Most likely an error should be handled here
                    return
                }
                if tracks.count < limit {
                    // This was the last page because we got less than limit (50) tracks
                    completion(allTracks+tracks)
                } else {
                    // Expecting another page to be loaded
                    offset += limit // Next page
                    allTracks += tracks
                    appendPage() // Recursively call for next page
                }
            }
        }
        appendPage() // Load first page
        
    }
    
    private static func fetchSavedMusicPage(offset: Int, limit: Int, completion: @escaping ((_ tracks: [Track]?) -> Void)) {
        APICaller.shared.getUsersSavedTracks(limit: limit, offset: offset) { result in
            switch result {
            case .success(let model):
                completion(model)
            case .failure(let error):
                print(error)
                completion(nil) // Error also needs to call a completion
            }
        }
    }
    
}
I hope comments will clear some things out. But the point being is that I nested an appendPage function which is called recursively until server stops sending data. In the end either an error occurs or the last page returns fewer tracks than provided limit.
Naturally it would be nicer to also forward an error but I did not include it for simplicity.
In any case you can now anywhere TracksModel.fetchAllPages {  } and receive all tracks.
When you load and show your data (createSpinnerView) you also need to wait for data to be received before continuing. For instance:
func createSpinnerView() {
    let loadViewController = LoadViewController.instantiateFromAppStoryboard(appStoryboard: .OrganizeScreen)
    add(asChildViewController: loadViewController)
    TracksModel.fetchAllPages { tracks in
        DispatchQueue.main.async {
            self.tracksArray = tracks
            self.remove(asChildViewController: loadViewController)
            self.navigateToFilterScreen(tracksArray: tracks)
        }
    }
    
}
A few components may have been removed but I hope you see the point. The method should be called on main thread already. But you are unsure what thread the API call returned on. So you need to use DispatchQueue.main.async within the completion closure, not outside of it. And also call to navigate within this closure because this is when things are actually complete.
Adding situation for fixed number of requests
For fixed number of requests you can do all your requests in parallel. You already did that in your code.
The biggest problem is that you can not guarantee that responses will come back in same order than your requests started. For instance if you perform two request A and B it can easily happen due to networking or any other reason that B will return before A. So you need to be a bit more sneaky. Look at the following code:
private func loadPage(pageIndex: Int, perPage: Int, completion: @escaping ((_ items: [Any]?, _ error: Error?) -> Void)) {
    // TODO: logic here to return a page from server
    completion(nil, nil)
}
func load(maximumNumberOfItems: Int, perPage: Int, completion: @escaping ((_ items: [Any], _ error: Error?) -> Void)) {
    let pageStartIndicesToRetrieve: [Int] = {
        var startIndex = 0
        var toReturn: [Int] = []
        while startIndex < maximumNumberOfItems {
            toReturn.append(startIndex)
            startIndex += perPage
        }
        return toReturn
    }()
    
    guard pageStartIndicesToRetrieve.isEmpty == false else {
        // This happens if maximumNumberOfItems == 0
        completion([], nil)
        return
    }
    
    enum Response {
        case success(items: [Any])
        case failure(error: Error)
    }
    
    // Doing requests in parallel
    // Note that responses may return in any order time-wise (we can not say that first page will come first, maybe the order will be [2, 1, 5, 3...])
    
    var responses: [Response?] = .init(repeating: nil, count: pageStartIndicesToRetrieve.count) { // Start with all nil
        didSet {
            // Yes, Swift can do this :D How amazing!
            guard responses.contains(where: { $0 == nil }) == false else {
                // Still waiting for others to complete
                return
            }
            
            let aggregatedResponse: (items: [Any], errors: [Error]) = responses.reduce((items: [], errors: [])) { partialResult, response in
                switch response {
                case .failure(let error): return (partialResult.items, partialResult.errors + [error])
                case .success(let items): return (partialResult.items + [items], partialResult.errors)
                case .none: return (partialResult.items, partialResult.errors)
                }
            }
            
            let error: Error? = {
                let errors = aggregatedResponse.errors
                if errors.isEmpty {
                    return nil // No error
                } else {
                    // There was an error.
                    return NSError(domain: "Something more meaningful", code: 500, userInfo: ["all_errors": errors]) // Or whatever you wish. Perhaps just "errors.first!"
                }
            }()
            
            completion(aggregatedResponse.items, error)
        }
    }
    
    pageStartIndicesToRetrieve.enumerated().forEach { requestIndex, startIndex in
        loadPage(pageIndex: requestIndex, perPage: perPage) { items, error in
            responses[requestIndex] = {
                if let error = error {
                    return .failure(error: error)
                } else {
                    return .success(items: items ?? [])
                }
            }()
        }
    }
    
}
The first method is not interesting. It just loads a single page. The second method now collects all the data.
First thing that happens is we calculate all possible requests. We need a start index and per-page. So the pageStartIndicesToRetrieve for case of 145 items using 50 per page will return [0, 50, 100]. (I later found out we only need count 3 in this case but that depends on the API, so let's stick with it). We expect 3 requests starting with item indices [0, 50, 100].
Next we create placeholders for our responses using
var responses: [Response?] = .init(repeating: nil, count: pageStartIndicesToRetrieve.count)
for our example of 145 items and using 50 per page this means it creates an array as [nil, nil, nil]. And when all of the values in this array turn to not-nil then all requests have returned and we can process all of the data. This is done by overriding the setter didSet for a local variable. I hope the content of it speaks for itself.
Now all that is left is to execute all requests at once and fill the array. Everything else should just resolve by itself.
The code is not the easiest and again; there are tools that can make things much easier. But for academical purposes I hope this approach explains what needs to be done to accomplish your task correctly.