Anzolin is most noted for having played most of the 1960s with Italian Serie A giants Juventus, making 305 appearances (230 of which were in the league) with the club between 1961 and 1970. During his time at the club, he won a Serie A championship during the 1966–67 season, as well as a Coppa Italia during the 1964–65 season. He also won a minor international trophy with the club, the Coppa delle Alpi, in 1963. With Juventus, he also reached the semi-finals of the 1967–68 European Cup, losing to Benfica.