People can be irrational when it comes to their favorite NFL teams. If a player makes a remark in a moment of frustration, the fans will turn on him quicker than the Colts' decision to draft Andrew Luck.
The only proven way to quiet the hate is to perform on the field.
For instance, LeBron James was widely ridiculed for his shortcomings. The fact that he won the 2012 NBA Finals MVP will bring most of that criticism to a head.
Football fans are no different than their basketball counterparts in that respect.
Conveniently, the way to begin a good season is to turn in a terrific training camp.