Bichsel made his professional senior debut in the Swiss National League with EHC Biel during the 2020–21 season, featuring in four games.

In order to continue his upward trajectory, Bichsel moved from Switzerland to the more competitive Swedish J20 Nationell, by agreeing to a contract with the junior club of Leksands IF on 24 May 2021.

[1] In the following 2021–22 season, Bichsel was soon elevated to make his Swedish Hockey League (SHL) debut and was later rewarded with a two-year rookie contract through 2023 with Leksands on 21 January 2022.

Bichsel contributed with 1 goal and 7 points from the blueline through 16 games before he left North America and returned to Sweden on loan by the Stars, joining Rögle BK of the SHL for the remainder of the season on 29 November 2023.

[7] Bichsel’s brother Joel, plays professional football for the BSC Young Boys of the Swiss Super League.