Between 2010 and 2011, Ćurčić served as assistant manager to Vladimir Petrović while Petrović was manager of Serbia. He was caretaker manager of the national team from October 2011 until April 2012. Ćurčić then led the Serbia U21s to the 2015 UEFA Under-21 Championship. He was again named caretaker manager of the Serbian national team in November 2014, before being officially appointed as manager later the same month. On 27 April 2016, it was announced that Ćurčić left the position by mutual consent. On 29 April 2018, Ćurčić was appointed as the new head coach of Muangthong United.