EDIT: Corrected my answer after checking some of the rules around casting to type Array.
All specific types of arrays, such as int[], string[], or MyCustomObject[] derive from the base Array class, and as such, they implement the ICollection interface, which is what the ArrayList.AddRange method accepts as a parameter.
Assuming that your contentArrayList variable is an ArrayList object, you should be able to cast your loadedContent variable to ICollection:
contentArrayList.AddRange((ICollection)loadedContent)
Alternatively, you could combine the check for whether it is an array with the cast:
Array loadedContentAsArray = loadedContent as Array;
if (loadedContentAsArray != null)
{
contentArrayList.AddRange(loadedContentAsArray);
}