Adžić signed a scholarship contract with Budućnost Podgorica in April 2022.[1] He made his debut in August of the same year, scoring a long-range chip against Arsenal Tivat in a 4–0 win.[2] In doing so, he became the youngest goal-scorer in Budućnost's history, and the second-youngest in Montenegrin top-tier league, behind Ilija Vukotić.[3]
On 11 October 2023, he was named by English newspaper The Guardian as one of the best players born in 2006 worldwide.[4]
Juventus
On 11 July 2024, Juventus announced the signing of Adžić on a three-year contract. He was initially slated to join the to Serie C side Juventus Next Gen before transitioning to the first team.[5] Eventually, Adžić's rapid progress managed to impress manager Thiago Motta and his staff during pre-season, earning himself an immediate spot with Juventus first team for 2024–25 season, missing the first three matches of the season due an injury and rejoining team during the international break in September 2024.[6][7][8]
^Perović, Rajko (1 September 2022). "Kotor srećna luka talenata Budućnosti" [Kotor, the lucky port of the talents of the future]. pobjeda.me (in Croatian). Retrieved 13 January 2023.