Matić was born in Šabac in the Serbian Federal Republic. Moving from youth football to MFK Košice in 2008, he made his debut on 30 May 2009 as a substitute in second half of the match against Tatran Prešov. On 9 March 2013, in a 2–1 loss to Spartak Myjava, he scored a goal similar to one scored by Arjen Robben, but during extra time, he missed a penalty, firing the ball into the arms of Myjava goalkeeper Peter Solnička.
In early 2013, Matić joined his brother at Benfica in Portugal.[1][2] on a 1-year contract with the option to extend it for a further five years.[3] In 2014, at the same time as his brother left for Chelsea, he went on a trial at NAC Breda, who later, signed him on a permanent deal.[4]
On 26 July 2020, Matić signed a three-year contract with Qarabağ FK.[5][6] Matić left Qarabağ on 26 July 2021.[7]
On 26 July 2021, Matić signed a two-year contract with Saudi club Abha.[8]
Matić's older brother, Nemanja, plays for Lyon and the Serbia national team.[9] Matić's maternal grandfather was born in Volkovija, now North Macedonia, then settled with his family in Serbia; he has talked about joining the Macedonian national team (as he is eligible through his descent).[10][11]
