Reichel, selected in the first round (17th overall) of the 2020 National Hockey League Draft by the Blackhawks, recorded five points (2G, 3A) in nine postseason games en route to helping Eisbären Berlin capture the 2021 championship in Germany's top professional league, the DEL. Reichel totaled 27 points (10G, 17A) in 38 regular-season games. He posted two goals and four assists in nine games at the 2021 IIHF World Championship with Team Germany.
The 19-year-old registered 24 points (12G, 12A) in 42 games during the 2019-20 season as a rookie for Eisbären Berlin. He played against the Blackhawks as a part of the 2019 National Hockey League Global Series Challenge at Mercedes-Benz Arena in Berlin, Germany on Sept. 29, 2019.
Prior to joining Eisbären's professional team, Reichel split the 2018-19 season between Eisbären Juniors Berlin U17 and U20 teams. He appeared in four games with the U17 club, notching six points (3G, 3A) in four games and skated in 32 games with the U20 team, recording 42 points (11G, 31A) in 32 games. The 6-foot, 172-pound forward also appeared in five postseason games with the U20s, tallying seven points (3G, 4A).