Abazi played with Drita in the Football Superleague of Kosovo before moving to Albania to join the reigning defending champions Skënderbeu Korçë in the summer of 2013.[2] Abazi made his first Albanian Superliga appearance on 15 September 2013 in second matchday against Flamurtari Vlorë, playing the second half as the team was defeated 1–2 away.Abazi playing his first competitive match after 10 months on 17 August 2014 in the 2014 Albanian Supercup against Flamurtari Vlorë which was won 1–0 at Qemal Stafa Stadium.[20] In cup, he had little to offer, but still played two matches as substitute, both semi-final legs against Flamurtari Vlorë, as the tournament ended in conquest, meaning that the team had achieved the domestic double for the first time in history.[24][25] Abazi received his first call-up to the Kosovo senior team by manager Albert Bunjaki for the friendly match against Equatorial Guinea.