[4] McCarron initially committed to play for the National Collegiate Athletic Association (NCAA) Western Michigan University Broncos, before opting out to continue his development through Canadian junior ranks with the London Knights of the Ontario Hockey League (OHL).

[9][10] After a good start in his first professional year in 2015–16, he was called up by the Canadiens and played two games in the National Hockey League (NHL), though without picking up any points.

On February 27, he recorded his first NHL point, an assist on a Devante Smith-Pelly goal, in a 4–1 win against the Toronto Maple Leafs.

[14] While playing with the Canadiens' AHL affiliate, the Laval Rocket, during the 2018–19 season, McCarron underwent a season-ending surgery on his left shoulder in February 2019.

Having been passed on the depth chart and with limited prospects with the Canadiens, McCarron was traded to the Nashville Predators in exchange for Laurent Dauphin on January 7, 2020.