Well in Oakland the head coach sure doesn't pick the players, so he wouldn't have that power there. Pretty sure the GM in Atlanta picks their players and not Mike Smith, so McD wouldn't be able to do it there either.
But even if he does get personnel control at his next gig, I just find it comical that everyone is like "OMG he's gonna trade away all their talent". The Cutler situation was a really odd combination of events that probably wouldn't repeat at his next stop. Cutler was already mad that his coaches got canned and his poutiness about McD taking trade calls put flames on the fire. Probably not a situation that will arise again. The only other talented player McD got rid of was Marshall and he was such a headcase his next team dumped him too before he finally figured it out. So again, another unique situation.
But don't let that stop the revisionist history that McD just came in and got rid of all our talent for no good reason and that he'd for sure do it again at his next stop. I have a feeling there will be a bunch of disappointed people on here when he gets to his next stop and keeps all of his core talent.