Vasić began his senior career with Yugoslav second division club FK Novi Sad.
After that season Bürstadt was relegated, but Đurađ Vasić stuck with the club for seven years in the third division.
In the coaching career that ensued in 1992, initially in Bürstadt, he generally was at the helm of third division clubs.
In October 2006 he was hired by second division side Eintracht Braunschweig as successor to Michael Krüger and interim coach Willi Kronhardt.
After five matches without gaining a single point, Eintracht thought it pointless to hang on to him and let him go by November.