Domestically, he played for Croatian clubs Concordia Zagreb and Građanski Zagreb, while abroad he played for Grasshopper Club Zürich and RCF Paris, CA Paris and FC Sochaux-Montbéliard.
Živković made his international debut on 2 August 1931 (aged 18 years 7 months 8 days) against Czechoslovakia and scored the opening goal of a 2–1 win.
During the Second World War, Živković had served as a diplomat in the Independent State of Croatia's embassies in Berlin and Budapest.
In 1945, after the war, he migrated to South Africa, where he lived until 1993, when he moved back to the newly independent Republic of Croatia.
[6] List of international goals scored by Aleksandar Živković[7] Yugoslavia Individual