Born in Gradiška, Ožegović made his first football steps with the local club Kozara and later he moved to Borac Banja Luka.[1] Subsequently, Ožegović went through the youth setup at Red Star Belgrade, where captained a team for a period.[2] He was initially sent out on loan to Banat Zrenjanin (2012),[3] and then to Voždovac (2013),[4] in order to gain experience. In early 2014, Ožegović terminated his contract with Red Star.[5] He subsequently signed a six-month deal with Rad, helping them avoid relegation from the top flight in the 2013–14 campaign.[6]
In the 2014–15 season, Ožegović played for Jagodina (fall)[7] and Borac Čačak (spring).[8] He scored six times for the latter side, including a long-range volley in a 3–1 win over his former club Jagodina, securing him the Goal of the Season award.[9] In July 2015, Ožegović signed a three-year contract with Vojvodina.[10] He netted seven league goals for the side, including a bicycle kick in a 2–0 win against Javor Ivanjica that earned him the Goal of the Season award for the second time in a row.[11] He also scored a twice in the first leg of the third qualifying round for UEFA Europa League, in 4–0 away victory over Sampdoria.[12]
In early 2016, Ožegović moved abroad to China and joined Super League club Changchun Yatai. He failed to score in nine games for the side, before returning to Serbia.[13]
On 31 August 2017, Ožegović joined Partizan. He signed a three-year contract and was given the number 51 shirt.[17] He made his debut for the club on 9 September 2017, against Mladost Lučani.[18] He scored his first goal for Partizan on 17 September 2017 against Radnički Niš in a 3–1 home league victory.[19]
On 28 September 2017, he recorded his first European goals after found the back of the net in a 2–3 home loss to Dynamo Kyiv in 2017–18 UEFA Europa League group stage second match.[20] He also scored goal in 2–1 home victory over Young Boys, on 26 November, as Partizan advanced to the knockout stage after 13 years.[21]
Ožegović returned to Partizan for the 2019–20 season. He scored his first Super Liga goal on 4 August 2019, in a 4–0 win over Mačva.[24]
Darmstadt 98
On 2 September 2019, Ožegović joined Darmstadt 98 on a two-year deal.[25] In July 2020, after making just five appearances as a substitute, he agreed the termination of his contract.[26]
Manisa
On 20 January 2022, Ožegović signed a 1.5-year contract with Manisa.[27]
Volos
Ožegović made his debut for the team on 11 September 2022 at the Karaiskakis Stadium against Olympiacos, scoring a goal in the 29th minute after an assist from Paolo Fernandes.[28] A week later, in the fifth round of the Super League Greece, Ožegović scored his second goal for Volos against Ionikos.[29] On 10 November, Ožegović scored two goals against PAS Giannina and thus brought his team three new points.[30] On 16 January 2023 Ožegović ended his team's five-match winless streak by scoring the only goal in a 0–1 win over Ionikos.[31]
Kifisia
On 14 July 2023 Ožegović signed for the 2022–23 Super League Greece 2 champions A.E. Kifisia. He made his debut for his new club on 20 August 2023 in a 3–0 loss against PAS Giannina.[32] On 1 September 2023, in a 2–1 win over Atromitos Ožegović and Antonis Papasavvas helped their club record their first ever victory in the top tier of Greek football.[33]
In September 2016, Ožegović appeared in Serbia's friendly match against Qatar.[37]
Controversy
In an interview for mondo.rs in summer 2017, he said that his dream was to win a title with Red Star and celebrate it in front of the north stand with Delije. He also said that his dream did not come truth because of club policy at time, which, in his words, favoured "players from Ghana and Uganda over Red Star children."[38] When he became a potential transfer target of Partizan in late August that summer, many Partizan supporters were against their club signing him.[39] Finally, Ožegović signed with Partizan on last day of the summer transfer window. During the official promotion at new club, sports director Ivica Iliev revealed that Ožegović started playing football with Partizan.[17] Several days later in interview for Sportski žurnal, Ožegović explained that he spent three months training with the club at the age of 13.[40]