[2] He spent the majority of the subsequent season with the Kanata Lasers of the Central Canada Hockey League (CCHL) while also appearing in eight games for the 67's.

Quinn's draft year was far more productive; he recorded 52 goals and 37 assists for 89 points in 62 games.

On January 11, 2022, Quinn made his NHL debut; he went scoreless in a 6–1 defeat to the Tampa Bay Lightning.

[10] On January 20, 2022, Quinn scored his first NHL goal and added an assist in a 5–4 defeat to the Dallas Stars.

While playing with the 67's Quinn lived with his father, Dan, a government worker, in Ottawa instead of billeting.