[4] He joined Basel's first team for their 2022–23 season under head coach Alexander Frei and made his debut in the Swiss Cup match on 21 August 2022.
[5] Fink played his domestic league debut for the club in the away game in the Letzigrund on 28 August as Basel won 4–2 against Zürich.
[7] On 20 July 2023, he joined Swiss Super League rivals Grasshopper Club Zürich for a season long loan.
[8] He made his debut in the first game of the season on 22 July 2023, coming on in the final minutes in the 1–3 home defeat to Servette FC.
[11] He returned to Basel following the conclusion of the season,[12] having scored four goals in total for Grasshoppers, two each in the league and in the cup.