He joined the youth academy of German Bundesliga side Bayern Munich at the age of eleven on 2017.

Schmitt received his second call-up with the Bayern Munich senior team for a 4–0 away win DFB Pokal match against SC Preußen Münster on 26 September 2023, as an unused substitute.

[3] He was called-up a third time with the Bayern Munich senior team for their first UEFA Champions League round of 16 match on 14 February 2024, against Italian Serie A club Lazio.

[4] Schmitt was called-up with the Bayern Munich senior team for a friendly match on 6 January 2025, after the 2024 winter break concluded, in which he substituted Daniel Peretz at the 71st minute of a 6–0 win over Austrian Bundesliga club Red Bull Salzburg.

He helped the Germany national under-17 football team win the 2023 UEFA European Under-17 Championship and the 2023 FIFA U-17 World Cup.