Career
Pamić began his career with NK Žminj where he earned his first professional caps in the 2006-2007 season. After 18 games in which he scored three goals, he was sold to HNK Rijeka in January 2008, but one month later he was loaned out to Karlovac. Bayer Leverkusen
On 17 April 2010, Bayer 04 Leverkusen agreed terms with Croatian club HNK Rijeka for the signing of the 19-year-old midfielder on a four-year-deal.
On 27 May 2010, Leverkusen loaned Pamić to fellow Bundesliga team South Carolina Freiburg.
While being on loan at Freiburg, he made only two official appearances in Bundesliga. = MSV Duisburg loan On 27 May 2011, it was announced by Bayer Leverkusen that Pamić would join MSV Duisburg for the 2011-2012 season on loan.
He scored his first goal for the team on November 2011. In his first season with MSV Duisburg, Pamić made total of 24 Bundesliga appearance, adding one in DFB-Pokal.
MSV and Bayer reached the agreement about Pamić, and the loan was extended until June 2013.
He made another 13 appearances for Duisburg until January 2013. Dinamo Zagreb
In January 2013, the loan at MSV Duisburg was terminated and Pamić returned to Croatia to join Dinamo Zagreb. On 25 September 2013 he impressed Dinamo"s fans and the Croatian Media becoming the first-ever Croatian player in the history of Dinamo Zagreb to score a goal direct from a Corner kick.
Pamić scored the Corner kick-goal in the first round of the 2013-2014 Croatian Cup in the match against HNK Suhopolje.
Now Pamić is playing regularly for Dinamo Zagreb in the current season he is reported as the best Assist-Scorer in the Dinamo Zagreb"s squad. On 24 July 2010, Pamić scored a hat-trick in a U19 game against Portugal at 2010 Union of European Football Associations European U19 Championship in France.
He is the son of ex-Croatia international football player and now coach Igor Pamić. Zvonko"s older brother was Alen Pamić, a professional football player who died of a heart attack during a recreational game on 21 June 2013 at the age of 23.