[7] Rasmussen made his NHL debut for the Red Wings on October 4, 2018, during a 3–2 overtime loss to the Columbus Blue Jackets.
[8][9] On October 8, Rasmussen recorded his first career NHL point, assisting on a goal by Tyler Bertuzzi during a 3–2 shootout loss to the Anaheim Ducks.
[10] On October 30, Rasmussen scored his first career NHL goal against Joonas Korpisalo of the Columbus Blue Jackets in a 5–3 win.
[11] Due to the delayed start to the 2020-21 NHL season, Rasmussen was loaned to the Graz99ers of the ICE Hockey League (ICEHL).
Rasmussen represented Canada junior team at the 2016 Ivan Hlinka Memorial Tournament, where he recorded one goal and three assists in four games.