Career
Kvržić signed for HAŠK after spending four years at Proleter Teslić, where he made his first appearances in professional football. During his playing time at HAŠK, Kvržić made a name for himself, which earned him a move to Croatian First Division side Osijek where he stayed for three seasons. Fellow Croatian side Rijeka spent over €400,000 to bring Osijek duo Zoran Kvržić and Marko Lešković to the club in a joint deal in 2013.
In January 2015, he was loaned to Italian club Spezia.
In July 2015, he was again loaned to Spezia. On 16 December 2011, Kvržić made his debut for Bosnia and Herzegovina in a friendly game against Poland.