As it turns out in reality though, there aren't 31 other companies out there willing to do that. There are only a few, and they are looking for a discount, bargain basement deal, at a perceived fire sale.
MF has no leverage over the Dolphins, but the Dolphins have no leverage with the other teams either.
He doesn’t need all 31 to want him, only one. Minkah may not have much leverage, but he doesn’t need any. He has talent, and that alone will land him a job on a better team with better opportunities. Even if there were no pay increase, it’s still a win for him. The Dolphins may hold all the cards, but Minkah still has the power to decide his ultimate fate, as he can force the trade or force being cut. Again, still a win for him.