 Starting his career with his sole professional club, Fortuna Düsseldorf, in midfield, he was later used as sweeper and appeared in 440 Bundesliga matches (42 goals), which is still a Bundesliga record for the club.Zewe was part of the Düsseldorf team that reached the DFB-Pokal final on three consecutive occasions from 1978 to 1980, carrying the trophy home in 1979 and 1980.In 1979, he further won a European Cup Winners' Cup runner-up medal with Düsseldorf, getting beaten after extra-time by FC Barcelona at St. Jakob Stadium, Basel.