The OnClick event must be implemented a method of an instance. You've passed the code part of the method, but are missing the data, the instance.
You must get hold of an instance of TController. Now, you have one of those at hand since your code runs in the constructor of TController. So just write it like this:
FView.Quit.OnClick := Self.QuitBtn;
Of course, you can always omit Self which is idiomatic.
FView.Quit.OnClick := QuitBtn;
I'm also not sure that QuitBtn is a great name for an event handler. It sounds more like the name of a UI widget.
And perhaps you are using a compiler mode that requires the @ operator to generate method references:
FView.Quit.OnClick := @QuitBtn;