Parker was a standout for the Booker T. Washington Hornets in Tulsa. As a true freshman at Oklahoma, Parker gained over 1000 yards. He accomplished that feat in each of his three seasons. All three of his seasons rank in the top 20 all-time at Oklahoma.
Parker played for the Sooners from 1996 to 1998, and is the Sooners' sixth all-time leading rusher.
When Bob Stoops became the third head coach in Parker's tenure at Oklahoma in 1999, Parker decided to forgo his senior season, despite several attempts by Stoops to keep him with the team. He was taken by the Green Bay Packers with the 159th overall pick in the 5th round of the 1999 NFL Draft. Packers GM Ron Wolf said during his rookie year that he was the fastest player on the team. In his only NFL start in 1999, Parker rushed for 135 yards and two touchdowns. He later joined the Detroit Lions, but did not play.