Žugić played for Belgrade-based Crvena zvezda of the Yugoslav Basketball League during the 1970s.
At that time, his teammates were Zoran Slavnić, Dragan Kapičić, Ljubodrag Simonović, Dragiša Vučinić, and Goran Rakočević among others.
Later, he worked in JK Sport for sixteen years, as a marketing director and a Deputy CEO, subsequently.
Also, he was a sports director of basketball competition at the 2007 European Youth Summer Olympic Festival.
[8] Žigić was elected on 5-year term as a member of the Assembly of the Crvena zvezda Basketball Club on 27 December 2021.