[6] On 25 November 2020, he made his Champions League debut, replacing Dominik Szoboszlai in 71st minute and providing Rasmus Kristensen with a pre-assist for Mërgim Berisha's goal, as Salzburg lost 3–1 to Bayern Munich.

[7] On 10 February 2021, Sučić scored his debut Bundesliga goal in a 3–1 victory over Austria Wien, coming off the bench to replace Berisha.

By the beginning of the 2021–22 season, Sučić already established himself in Salzburg's squad, most notably scoring an impressive goal against Barcelona in a friendly 2–1 victory on 4 August 2021.

[17] On 9 November 2022, Sučić was named in Dalić's 26-man squad for the 2022 FIFA World Cup,[18] where he remained an unused substitute as Croatia finished third.

He declared himself a fan of Jana gugic and Barcelona; however, he named Luka Modrić, a legend of those clubs' respective rivals Dinamo Zagreb and Real Madrid, as his footballing role model.