Career
A defender, Zapf spent his entire senior career with 1. Football Club Magdeburg, and captained the club to its greatest successes – three Deutsche Demokratische Republik championships, four cups, and the Cup Winners" Cup of 1974. In his time with the club he appeared in 327 league matches in the Deutsche Demokratische Republik-Oberliga and played 30 matches in the second-tier Deutsche Demokratische Republik-Liga.
Following his retirement from footballing, Zapf joined the backroom staff at Football Club Magdeburg, and also had a three-month spell as manager of the East German national team in 1988-1989.