After a start at AEP Katerini in his hometown Malezas moved to PAOK in 2003. He stayed in Thessaloniki till the summer of 2012 with the exception of the 2004/2005-season when he played as a loanee at Irodotos. In 2012 Malezas moved to Fortuna Düsseldorf in Germany where he stayed till 2014 to return to Greece and play for Panaitolikos FC. He signed a two-year contract but switched after just one year back to PAOK where he won the Greek Football Cup in 2017 and 2018.
Malezas has been capped 3 times for Greece sofar.