Fitzpatrick has been the starting quarterback for the Bills for the last three seasons, winning a third of his games during that time.
The wide receiver, who was the quarterback's most-used target during 2012, told The Buffalo News: "Because competition brings out the best in us, if we went out and got another quarterback, who knows what'll happen? Fitz may still win, or the other guy may win. Let it happen like that.
"I'm a guy that's about competing. Bring whoever you want in and the better man will win. So be it."
"He is a good quarterback, we've all seen that. Obviously, they may bring somebody else in. I just hope it leads to competition. I think Fitz is one of those competitors. He may come out with the job again."
The Bills finished last in the AFC East for the fifth consecutive season during 2012.