Career
Brn in Subotica, Social Research Serbia, then still within Yugoslavia, Kopunović started his playing career with his hometown club Spartak Subotica. He then moved abroad to Mura in Slovenia. Between 2001 and 2005, Kopunović played for Kamen Ingrad in Croatia.
He also played professionally in China, Hungary and Greece, and in summer 2014 he joined FK Bačka 1901, the oldest club in Serbia, playing in the Serbian League Vojvodina.
At the start of the 1994/95 season, he joined FK Bačka 1901 and played with them in the Second League of First Revision Yugoslavia group North. In that same club he finished his playing career in the season 2014-2015 playing in the Serbian League Vojvodina.
Beofore that he has played with Spartak Subotica, Mura, Kamen Ingrad, Guangzhou Rizhiquan, Mladost Apatin, Kecskemét, Hrvatski Dragovoljac, OFK Petrovac, Anagennisi Epanomi, Kastoria and Tisa Adorjan. In summer 2015 he finished his playing career and became one of the managers of the youth teams of FK Spartak Subotica.