Carrier played amateur midget junior ice hockey in his native Quebec, with Collège Antoine-Girouard Gaulois of the QMAAA. He embarked on a major junior career, after he was selected fourth overall in the 2012 QMJHL Entry Draft, by the Gatineau Olympiques. A mobile, two-way defenceman, following a breakout 55-point campaign in the 2014–15 season, Carrier was selected in the 2015 NHL Entry Draft by the Nashville Predators.
During his final junior season with the Olympiques, Carrier was signed to his first NHL contract, agreeing to a three-year, entry-level deal with the Predators on November 12, 2015.[3] Limited to 57 games with Gatineau in the 2015–16 season, Carrier matched his previous goal total with 12 and contributed with 47 points before suffering a second-round defeat in the postseason.
In his first professional season and after attending the Predators training camp, Carrier was assigned to begin the 2016–17 season in the AHL with affiliate, the Milwaukee Admirals. He made a seamless transition to the AHL ranks, leading the Admirals' defence in scoring and earning selection to the AHL All-Star Game before he received his first NHL recall on January 13, 2017.[4] He made his NHL debut with the Predators in a 1–0 loss to the Vancouver Canucks on January 21.[5] He was returned to the Admirals after two scoreless games with Nashville.