Crippa moved to Parma in the summer of 1993 and in his first season he was part of the team that won the UEFA Super Cup over two legs against A.C. Milan. Parma lost the first leg, played at the Stadio Ennio Tardini, 0–1, but won the second leg 2–0 with Crippa scoring the decisive goal in extra time. Crippa won his second UEFA Cup at the end of the 1994–95 season as Parma defeated Juventus 2–1 on aggregate. Parma had finished second behind Juventus in that season's Serie A, and would do so again in the 1995–96 season. Crippa was part of Parma's first ever Champions League campaign during the 1997–98 season.