Career
Brežančić signed his first professional contract with Partizan on 1 June 2007, penning a five-year deal. He subsequently went on loan to Teleoptik and Bežanija. In January 2009, Brežančić returned to Partizan and made seven league appearances until the end of the 2008-2009 season.
He recorded three more during the first part of the 2009-2010 season, before moving to Teleoptik once again in January 2010.
In the summer of 2010, Brežančić signed with Metalac Gornji Milanovac. He was then loaned to Bežanija during the 2011 winter transfer window.
After a six-month period, Brežančić signed a permanent contract with Bežanija and stayed there for the next two seasons. In the summer of 2013, Brežančić was transferred to newly promoted Čukarički.
He made 29 league appearances in the 2013-2014 season and scored one goal.
In the following season, Brežančić again missed only one out of 30 league games and scored one goal, as Čukarički finished in 3rd place. On 4 August 2015, Brežančić signed a three-year contract with Dutch club Arizona.
Brežančić represented Serbia and Montenegro at the 2006 Union of European Football Associations Under-17 Championship. Brežančić made his first appearance for the Under-21 side in a friendly match against Israel U21 on 11 August 2009.
His second and last appearance for the team came on 26 May 2010, in another friendly match against Romania U21.
