Career
Živković spent eight seasons at, before moving to Benfica in 1986. He also played for Fortuna Düsseldorf and Dijon, before retiring in 1991. Živković made five appearances for the Yugoslav national team and scored two goals.
Živković was the head coach of the Serbia and Montenegro national under-19 team from 2004 to 2005.
With him, they reached the semifinals of the 2005 Union of European Football Associations European Under-19 Championship. Živković also led the Serbian national under-19 team to the 2007 Union of European Football Associations European Under-19 Championship.
