Born in Novi Sad, Zličić started playing football with local club Veternik at the age of 6, and later moved to Vojvodina, where he passed all youth categories.
[3] He made his SuperLiga debut for Vojvodina under coach Milan Kosanović in the 17th round of the 2015–16 season against Radnik Surdulica,[4] where he also scored a goal.
[5] Playing for Proleter Novi Sad as a loaned player, Zličić made 18 Serbian First League appearances[6] and also scored one goal, against Sloga Petrovac na Mlavi.
[8] At the beginning of the 2016–17 season, Zličić made five appearances in UEFA Europa League qualifying phase, all as a back-up player; he provided an assist to Nikola Trujić in a match against Bokelj.
[13] On 4 February 2019, he suffered an anterior cruciate ligament injury in a friendly match against Japanese club Shonan Bellmare.