 During his playing career, Drašković played for Spartak Subotica, Vojvodina, Radnički Niš and Vrbas.He represented Yugoslavia at the 1971 Mediterranean Games, winning the gold medal.In his early managerial career, Drašković served as manager of Vrbas (twice), Vojvodina and Spartak Subotica, before leaving his homeland in 1988.