Brogan played in the 1970 European Cup Final and won four caps for Scotland. He won Scottish League Championships in seven consecutive seasons from 1967–68 to 1973–74, four Scottish Cups in 1968–69, 1970–71, 1971–72 and 1973–74, and three Scottish League Cups in 1968–69, 1969–70 and 1974–75.