Giants releasing Janoris Jenkins

It’s so that teams can’t make any “wink and nod” unofficial trades circumventing the trade deadline. Teams would otherwise just release corresponding players with the understanding that they would sign with the other team.
But wouldn't the released player have a say in where he signs since he's an unrestricted FA? It doesn't make sense that a wink and a nod agreement to circumvent the trade deadline is possible since no one has rights to the released player but the player himself.