Mićić wrestled for the United States at junior levels, winning a bronze medal at 55 kg at the 2015 Junior World Championships in Salvador, Brazil. From 2018, he started to represent Serbia at senior levels. Mićić holds dual citizenship and chose to compete for the birth country of his father. He participated in the 2018 European Wrestling Championships, held in Kaspiysk, Dagestan, Russia where he lost to Zaur Uguev of Russia, but went on to wrestle back and win a bronze medal after defeating Levan Vartanov of Spain. The bronze medal was also Serbia's first ever European medal in freestyle wrestling. Later at the 2018 Mediterranean Games in Tarragona, Spain, Mićić took another bronze medal at 65 kg. At the 2019 European Games, he won a silver medal, defeating world No.1 Süleyman Atlı of Turkey and U23 world bronze medallist Taras Markovych of Ukraine en route.