You could do:
public void setMyProperty(int value, Object caller)
{
if(caller is MyManagerClass)
{
MyProperty = value;
}
}
This would mean that you could use a 'this' pointer from the calling class. I would question the logic of what you're attempting to achieve, but without knowing the scenario I can't advise any futher. What I will say is this: if it is possible to refactor your code to make it clearer, then it is often worthwhile doing so.
But this is pretty messy and certinly NOT fool-proof ... you have been warned!
Alternativly...
You could pass a delegate from the Class with the Property (Class A) to the Manager Class (Class B). The delegate can refer to a private function within A to allow B to call that delegate as any normal function. This precludes that A knows about B and potentially that A is created before B. Again... messy and not fool-proof!