Throughout his club career, Braglia played 7 seasons in Serie A for A.S. Roma, ACF Fiorentina, S.S.C. Napoli, A.C. Milan, and U.S. Foggia, making 99 appearances, and scoring 25 goals in total during his time in the Italian top division. During his time with Napoli, he wore the number 11 shirt; under manager Luis Vinicio, Napoli were known for their exciting style of play and came close to winning the league title during the 1974–75 season, in which Braglia scored 12 goals. Braglia won the 1975–76 Coppa Italia with the club, scoring a goal in the victorious final; in total he made 80 appearances for Napoli during his three seasons with the team, scoring 24 goals. The following season, he joined Milan in exchange for Luciano Chiarugi, with whom he shared the nickname "Cavallo Pazzo" ("Crazy" or "Mad Horse", in Italian). During his first season with Milan, he won the 1976–77 Coppa Italia, and was also the top-scorer of the tournament, with 6 goals.