[3][4] On 3 August, only his second game, Ćuže scored a hat-trick in a 3–1 win over Varaždin, bringing his tally to five goals in only two professional appearances.
[11][12] Ćuže spent the remainder of the 2021–22 season playing in the second division for Druga NL team Dinamo Zagreb II.
[15] He made his debut for the club on 6 July, starting in the UEFA Champions League qualifier against Sheriff Tiraspol.
[16] On 28 July, Ćuže scored his first goal for Zrinjski in the UEFA Europa Conference League win over Tirana.
[18] Ćuže gained his first cap for the Croatia under-21 team on 5 September 2019 against the United Arab Emirates in a friendly match.