From 2002 to 2006, Micić played for the OKK Beograd junior program. In 2006–07, he played for Crvena zvezda juniors, and then from 2007 to 2010, he played for FMP Železnik juniors.
In 2010, Micić signed with Mega Vizura. At the age of 16, he made his Basketball League of Serbia debut, going on to play 35 games in 2010–11. In his first season with the club, he appeared in 35 games of the Serbian League and averaged 8.5 points, 3.1 rebounds and 2.8 assists per game. On 22 November 2011, just 8 games into the 2011–12 season, Micić suffered a season-ending knee injury. Over 8 games, he averaged 15.9 points, 5 assists and 3.5 rebounds per game. In the 2012–13 season, he became a leader with Boban Marjanović of the team which promoted to the Adriatic Leaguefor the first time in the club's history at the end of the season. Over 41 games in the Serbian League, he averaged 11.8 points and 5 assists per game. On 6 June 2013, Micić signed a two-year contract extension with Mega Vizura. On 8 April 2014, he broke his hand which sidelined him off the court for one month. In his first ABA League season, he averaged 12.1 points, 3.2 rebounds and 5.8 assists over 25 games. In June 2014, alongside his teammates Nemanja Dangubić and Nikola Jokić, Micić attended the Eurocamp, a basketball camp based in Treviso for the NBA Draft prospects. He impressed scouts, putting 14 points and 10 assists in 25 minutes of the game. In March 2014, Micić confirmed that he would enter the 2014 NBA draft. On 26 June 2014, Micić was selected by the Philadelphia 76ers with the 52nd overall pick in the 2014 NBA draft.
Turbulent seasons (2014–17)
On 4 August 2014, Micić signed a two-year deal with an option for one more season with the German team Bayern Munich. On 28 November 2014, in a EuroLeague game against Panathinaikos, he partially ruptured collateral ligament in his right elbow and was expected to miss six weeks of play. He appeared in 32 games of the German League averaging 7 points and 3.3 assists per game. He also made a debut in the 2014–15 Euroleague, but appeared in only 6 games and averaging 7.5 points per game. On 27 December 2015, Micić was loaned to Crvena zvezda for the rest of the 2015–16 season. He appeared in 17 games of the 2015–16 Euroleague for Crvena zvezda, averaging 5.5 points and 3.6 assists per game. With loan being ended, Micić was released by Bayern on 25 July 2016. On 26 July 2016, Micić signed with Turkish BSL club Tofaş for the 2016–17 Basketbol Süper Ligi season.
On 20 June 2018, Micić signed a two-year contract with Turkish club Anadolu Efes. In 2018–19 season, Micić led his team to the 2019 EuroLeague Final Four, where they lost in the final game to the CSKA Moscow. Over 37 games in 2018–19 EuroLeague season, he averaged career-highs of 12.1 points, 5.5 assists and 2.2 rebounds per game. On 25 May 2019, Micić signed two-year contract extension with Anadolu Efes.