Reichel played as a youth in the German Development League (DNL) with Starbulls Rosenheim and within the Eisbären Berlin organization.

[4] Reichel failed to make the opening day roster for the Blackhawks heading into the 2022–23 NHL season.

[5] He was instead sent down to the team's American Hockey League affiliate, the Rockford IceHogs, where he spent most of the season.

[5] He failed to bring his AHL-level of production to the Blackhawks, and was moved from centre to wing following inconsistent play.

[8] At the conclusion of the season, and as a pending restricted free agent, Reichel was re-signed by the Blackhawks to a two-year, $2.4 million contract extension on 7 May 2024.