Career
Radnički Obrenovac
Dražić started playing football with FK Obrenovac 1905, and later was with Red Star Belgrade youth selections for 2 years. Next he returned in Obrenovac and joined Radnički, where he ended youth career, and after that he joined the first team for the 2008-2009 season. He made 12 league appearances and scored 4 goals, although he was 16.
After first senior season, he was more experienced, and he more constant in the first squad.
Foreign 2009-2010 season, Dražić made 26 appearances and scored 6 goals. Foreign the 2010-2011 season, he made 28 appearances and scored 7 goals.
He was nominated for man of the match 3 times. In new season, for the difference of previous he played one more match and scored one more goal, so he ended the 2011-2012 season with 29 caps and 8 goals.
The fifth season with club from Obrenovac was the best for Stefan Dražić.
After 25 league goals in his previous career, for the 2012-2013 season he scored 21 goals on 29 matches and was named as a man of the match 9 times with average rating 7.43. Javor Ivanjica
= 2013-2014 He joined Javor Ivanjica in summer 2013, and scored his first goal for new club on his SuperLiga debut, against Red Star Belgrade. After that match Ifeanyi Onyilo transferred to Red Star Belgrade, and Dražić got more space in attack.
Although Javor maybe had the best team than previous 10 years, the team was relegated to First League after the end of season.
Dražić had 25 league appearances and scored 4 goals, and also played 1 cup match until the end of season. = 2014-2015 Behind the relegation from SuperLiga, Dražić definitely became the first choice as a centre forward, in new season, and he justified expectations, being the best scorer of Serbian First League in 2014-2015 season with 13 goals.
He had all 30 starts in league, and also played 1 cup match. Dražić and Ana Subotić were nominated for the best sportspeople of Ivanjica in 2014.
= 2015-2016 Although some clubs interested for attacker, he started new season with the same club
He scored his first goal in 2015-2016, in the 2nd fixture, against Spartak Subotica. Second goal in season he scored in away match against Voždovac in the 9th fixture. In 14th fixture, against Partizan, Dražić scored first goal on the match, but Javor lost that match.
He was a scorer in a first semi-final cup match against Borac Čačak.