During the 1950s, Ćorković played basketball for Dinamo Pančevo of the Yugoslav League.

[2] In 1958, Ćorković began with coaching career with Železničar Belgrade.

He led Partizan as a head coach for five seasons (1974–75, 1975–76, 1980–81, 1981–82, 1989–90) in three stints.

[1] As a head coach for the Yugoslavia women's national team, he won the gold medal at the 1977 Balkan Games in Ankara, Turkey, and the bronze medal at the 1978 Games in Thessaloniki.

Also, he won the silver medal at the 1978 European Championship for Women in Poznań with 7–2 record.