Career
Zavišić was promoted to the first team of in the 2002-2003 campaign, previously playing for their satellite club Teleoptik. After winning the national championship in his first season with, Zavišić was also part of the squad that qualified for the group stage of the 2003-2004 Union of European Football Associations Champions League. In the 2004 winter transfer window, Zavišić was loaned to Sutjeska Nikšić until the end of the 2003-2004 season.
Zavišić also played with Banat Zrenjanin, Smederevo and Čukarički in the Serbian SuperLiga.
Zavišić last played for Okzhetpes during the 2010 Kazakhstan Premier League. His father Ilija was also a player and youth system coach.