Sports Gurus: If Eli Manning could avoid playing for an organization who chose him because of his own liking why don't other rookies do this?

You guessed it, I’m a San Diego Chargers fan. I’ve never heard of a player coming from college into the pros deciding where they get to play. Or at least deciding where they don’t get to play. Isn’t the point of having the 1st overall pick to ensure you get a good player that will help and turn around a bad team with a bad record?

I don’t think players coming out of college have a choice when entering a “draft” and should sign with their teams respectively. What are your overall thoughts?