[1] As a player, Odović played as a left winger for the already mentioned Željezničar and Austrian clubs Linz and Spittal.
Born in Ilijaš, a town just outside Sarajevo, in the SFR Yugoslavia on 26 March 1955, Odović started playing football for local club Sloga.
As a talented youngster, he was asked to come and play for Željezničar, making his official debut for the club in 1974.
He was part of the Željezničar team that faced Velež Mostar in the 1980–81 Yugoslav Cup final.
Odović also managed Željezničar, Borac Banja Luka, Velež Mostar, GOŠK Gabela, Zvijezda Gradačac, Rudar Kakanj, Čelik Zenica and Olimpik.