[2] As a product of youth academy and club scholar, Marković started studying at Belgrade sports gymnasium in 2015, along with teammates Dušan Vlahović and Bojan Bojić.
[6] Marković made his official debut for Partizan, replacing Bojan Ostojić in the 88 minute of the Serbian Cup match against Rtanj Boljevac, played on 11 October 2017.
[11] Marković scored his first goal for Partizan in 5–0 home victory over Borac Čačak in final fixture match of the regular season, played on 5 April 2018.
[16] He made his first continental appearance for Partizan in starting line-up in the first leg match of the first qualifying round for 2018–19 UEFA Europa League campaign, against Rudar Pljevlja.
[19] On 8 July 2019, reports subsequently confirmed that Markovic has signed a five-year contract with Greek giants Olympiacos on a transfer fee in the region of €1.5 million.
[22] Despite being born in raise in Bosnia and Herzegovina, Marković, as an ethnic Serb, started playing with Serbia national under-16 football team in 2015.
[25] As a regular member of Serbian under-17 national team,[26] Marković was called in squad for the 2017 UEFA European Under-17 Championship by coach Perica Ognjenović.
[35] During the match against Javor Ivanjica in March 2018, coach Miroslav Đukić moved him to right-back position, which allowed him to break through the opponent's side and make an assist for a goal.