Marković played for a number of years in KK Bosna's youth teams alongside players such as Predrag Danilović, Dževad Alihodžić [bs], Senad Begović, Adis Bećiragić, etc.
At that season's end his improvement was recognized with a call-up to the Yugoslav national team under famous coach Dušan "Duda" Ivković.
However, Marković was not ultimately selected for the FIBA World Championship side sent to Argentina in August 1990, which Yugoslavia won.
Marković nonetheless continued to improve at the club level, featuring regularly for KK Bosna over the next two seasons, before the war broke out in his native Bosnia and Herzegovina.
He became head coach of KK Bosna in 2007, but resigned on failing to achieve his announced goal of leading them to the national championship title.
For a few months, he continued with the deputy mayoral job in parallel, but in November 2009 handed in his resignation, which was accepted by the Sarajevo city council.