In the Rebels 2020 regular season finale, Parrish had a breakout game rushing for 82 yards and two touchdowns, and also bring in four passes for 27 yards, but Ole Miss would lose in a shootout 53-48 versus LSU.[4] Parrish finished the covid shortend 2020 season with 263 yards and two touchdowns on 56 carries, while also hauling in seven receptions for 59 yards.[5] In week six of the 2021 season, Parrish ran for 118 yards on 18 carries, as he helped the Rebels beat #13 Arkansas 52-51.[6] Parrish took a step up in 2021 as he rushed for 553 yards and three touchdowns, on 105 carries, while also notching 21 receptions for 173 yards.[7] After the conclusion of the 2021 season, Parrish announced that he had decided to enter the NCAA transfer portal.[8][9]
Miami
Parrish would decide to transfer to Miami to continue out the rest of his college career.[10][11] In Parrish's debut with Miami, he rushed for 108 yards and three touchdowns, as he helped the Hurricanes dominate Bethune-Cookman 70-13.[12][13] Parrish finished the 2022 season with 616 yards and four touchdowns on 130 carries, while also bringing in 17 receptions for 120 yards and two touchdowns.[14] For his performance on the season, Parrish was named third team All-ACC.[15][16] In week four of the 2023 season, Parrish rushed for 139 yards and two touchdowns on 16 carries, as he helped the Hurricanes beat Temple.[17]