Menichelli played for 12 seasons (261 games, 60 goals) in the Serie A for A.S. Roma, A.C. Parma, Juventus F.C., Brescia Calcio and Cagliari Calcio. Whilst at Roma, he formed a notable partnership with fellow winger Alberto Orlando, winning the 1960–61 Inter-Cities Fairs Cup. With Juventus he won the Coppa Italia over Herrera's "Grande Inter" during the 1964–65 season, finishing the competition as top scorer, with 3 goals, also reaching the final of the 1964–65 Inter-Cities Fairs Cup, only to lose 1–0 to Ferencváros in Turin. He also won the 1966–67 Serie A title during his six seasons in Turin, scoring an impressive 11 goals in 33 appearances during the league winning season.