After going 8–24–1 in his first three years, Schnellenberger was able to turn the program around and go 24–9–1 the next three seasons. In 10 years, he led the Cardinals to their fourth and fifth bowl games in school history. They won them both, including a 34–7 thrashing of the Alabama Crimson Tide in the 1991 Fiesta Bowl, capping a 10–1–1 season and the school's first-ever appearance in a final poll (11th). The Fiesta Bowl appearance was the school's first-ever New Year's Day bowl game.