After starting out at Šampion Nais, Cvetković joined the youth system of Čukarički in early 2020.
[2] He made his senior debut for the club on 4 September 2023, coming on as a second-half substitute for Luka Adžić and scoring a late equalizer to salvage a 2–2 draw away against Železničar Pančevo.
[3][4] Throughout his first season with Čukarički, Cvetković appeared in 30 games across all competitions, netting four goals.
On 4 November 2024, in a 2–0 home league win over Železničar Pančevo, Cvetković opened the scoring nine seconds into the match, setting the record for the fastest goal scored in Serbian SuperLiga history.
[7] Subsequently, Cvetković led the team to the semi-finals of the 2024 UEFA European Under-17 Championship, scoring four goals in the tournament.