Career
His home club was NK Nedeljanec but as a 10-year-old Brezovec joined NK Varteks and played there until leaving the junior experience in winter 2004-2005. As a junior, he did not manage to enter into the first team at Varteks, so he returned to his home club Nedeljanec. Then he went to the Austrian Regionalliga (Club Street Michael).
After a short time in Austria, he returned in Croatia in the summer of 2006.
He signed a contract with the Croatian second division club NK Belišćest In November 2010, it was announced that Brezovec agreed on terms with Dinamo Zagreb and will be transferred out of NK Varaždin in the mid-season for undisclosed fee.
He signed a four-and-a-half-year contract. However, after playing only nine games for Dinamo by the end of season, Brezovec was signed by Slaven Belupo.
In June 2012, Brezovec was signed by HNK Rijeka.
With ten assists to his account, he was the league leader in the 2012-2013 Croatian First Football League. In September 2014, Brezovec was loaned to Spezia Calcio in Italy"s Serie B. He returned to Rijeka in January 2016.