During Rouse's freshman season in 2019, he played in 12 games while making 11 starts.[4] During the COVID-shortened 2020 season, Rouse would start all six games for the Cardinal.[5] In 2021, Rouse would play in and start all 12 games for Stanford.[6] During the 2022 season, Rouse played in and started ten games for the Cardinal.[7] For his performance on the 2022 season, Rouse earned honorable mention all Pac-12 honors.[8]
During Rouse's career at Stanford, he played in 40 games while making 39 starts.[9][10]
Oklahoma
Rouse initially decided to transfer to play for the Nebraska Cornhuskers.[11][12] However, Rouse decided to flip his commitment to play for the Oklahoma Sooners.[13][14] During the 2023 season, Rouse played in and started all 12 games for the Sooners, where for his performance he was named Big-12 honorable mention.[15] After the conclusion of the 2023 season, Rouse declared for the 2024 NFL draft.[16]
Rouse is the grandson of former NBA player Vic Rouse, who is most famous for hitting the game-winning shot as time expired in the overtime period of the 1963 NCAA championship game.[20][21] He is also the grandson of C. Payne Lucas, who founded Africare, a nonprofit dedicated to improving the quality of life for people in Africa.