Shrout redshirted during his true freshman season in 2018 and did not see action. During his redshirt freshman season in 2019, he appeared in four games and started in one of them finishing that season with completing 13 out of 27 passing attempts for 179 yards and a touchdown. During the 2020 season, he played in four games and finished the season with completing 24 out of 42 passing attempts for 315 yards and four touchdowns.[3] On December 22 of that year, Shrout announced that he had entered the transfer portal.[4] On December 27, he announced that he would be transferring to Colorado.[5]
Colorado
Shrout did not see any game action in the 2021 season due to a knee injury that had required surgery during the second week of fall camp which had him miss out the entire season. During the 2022 season, he played in 9 games and finished the season with completing 90 passes for 1,220 yards, seven touchdowns and eight interceptions.[6] On January 17, 2023, Shrout announced that he would be entering the transfer portal.[7] On January 30, 2023, he announced that he would be transferring to Arkansas State.[8][9]
Arkansas State
On August 29, 2023, Red Wolves head coach, Butch Jones announced that Shrout would be the starting quarterback for the team.[10][11]