Schmid played most of his youth and junior ice hockey in the SCL Tigers system, appearing in just one game at the National League level, a relegation match in 2018.

[2] Schmid made his National Hockey League (NHL) debut on 11 December 2021, in a 4–2 loss to the New York Islanders.

[8][9] On 29 June 2024, during the 2024 NHL entry draft, Schmid and Alexander Holtz were traded to the Vegas Golden Knights in exchange for Paul Cotter and a third-round pick in 2025.

[11] Since he was the third-string goaltender for Vegas behind Adin Hill and Ilya Samsonov, Schmid was reassigned to the AHL's Henderson Silver Knights on 2 October.

[14] Schmid represented Switzerland at the 2024 IIHF World Championship and won a silver medal.