The best way that I can think of is this.
In C# 5, a set of caller information attributes were added, namely [System.Runtime.CompilerServices.CallerMemberName], [System.Runtime.CompilerServices.CallerFilePath], and [System.Runtime.CompilerServices.CallerLineNumber]. We can use the CallerFilePathAttribute to see whether the caller comes from a particular .cs file.
Usually, one file will only contain one class or struct. For example, ClassA is defined in ClassA.cs. You can check if the caller file name matches ClassA.cs in the method.
So modify your method's parameters like this:
([CallerFilePath] string callerFilePath = "" /*Other parameters*/)
In the method, check if the callerFilePath matches the file path of ClassA. If it does not, throw an exception saying that the method can only be accessed from ClassA!