Smith has been branded a 'game manager' for his style of play at the quarterback position but has guided his side to a 5-0 start this season, a year after the Chiefs finished 2-14.
"At this point in my career I've been playing long enough that I don't really care what anybody's saying," Smith told NFL Network.
"I care about the guys in this locker room, the guys in this building and going out there and winning football games.
"They can call me whatever they want to call me as long as we're winning, so fine with me."
The Chiefs face the Oakland Raiders in the NFL later today.