When Parker first got to Mississippi State he once again found that his married status was a limiting factor as head football coach Murray Warmath had a policy against married players. Mississippi State baseball coach, R.P. "Doc" Patty had no such policy so Parker got a baseball scholarship and joined the team, where he was an outstanding shortstop and received an offer to play for the Cincinnati Reds. In 1952 the football coaches were in dire need of someone to run their new spit-T offense and gave Parker a chance. Early on coaches were not impressed with Parker, but then in the final scrimmage before the opening game he tossed seven touchdowns.