[3] Memorably, Parrish was named Associated Press "Back of the Week" for his performance in the Gators' 14–7 win over the Vanderbilt Commodores, including rushing for 111 yards, scoring both touchdowns, kicking both extra points, catching an interception, and making seven tackles—including one to prevent the Commodores' tying score.

As a junior in 1958, he batted .433 and led the Gators in runs batted in, hits, doubles and home runs, received first-team All-Southeastern conference (SEC) honors,[5] and was the Gators' first-ever first-team baseball All-American.

[6][7] Parrish decided to forgo his senior year of NCAA eligibility, and accepted a Major League Baseball bonus contract.

In 1971, Parrish wrote a best-selling book, They Call It A Game, published by The Dial Press, about the economics and politics of the NFL.

[15] Parrish enjoyed a second career as a hotel developer before retiring to spend more time with his wife and family.

[17] While Parrish was eventually dismissed from the suit as a lead plaintiff of the represented class,[18] the trial jury found in favor of the retired players and awarded a $28.1 million judgment against the NFLPA and Players, Inc., including $21 million in punitive damages.

[23] On October 1, 2017, Parrish was inducted into the Cleveland Browns Legends hall along with Tony Adamle at halftime of a game with the cross-state rival Cincinnati Bengals.