You need to add
where T : class
to your method declaration, e.g.
T Execute<T>() where T : class
{
By the way, as a suggestion, that generic wrapper doesn’t really add much value. The caller can write:
MyClass c = whatever.Execute() as MyClass;
Or if they want to throw on fail:
MyClass c = (MyClass)whatever.Execute();
The generic wrapper method looks like this:
MyClass c = whatever.Execute<MyClass>();
All three versions have to specify exactly the same three entities, just in different orders, so none are any simpler or any more convenient, and yet the generic version hides what is happening, whereas the “raw” versions each make it clear whether there will be a throw or a null.
(This may be irrelevant to you if your example is simplified from your actual code).