[5] A mobile, two-way defenceman, Carrier posted a breakout campaign in the 2014–15 season,[6] leading to his eventual selection by the Nashville Predators in the 2015 NHL entry draft.

[8] Appearing in 57 games with Gatineau, he matched his previous best goal output with 12 and contributed 47 total points before being ousted by the Moncton Wildcats in the second-round of that year's QMJHL playoffs.

[16] He likewise made his Stanley Cup playoffs debut during the Predators' 2021 first-round series against the Carolina Hurricanes,[17] collecting two assists across six games played.

[18] Securing a full-time roster spot with Nashville ahead of the 2021–22 season, Carrier registered 30 points through 77 games and was named to the annual NHL All-Rookie Team.

[19] Injuries plagued his 2022–23 production whereas he would be sidelined following a fight with Winnipeg Jets' forward Logan Stanley in a game on January 24, only to suffer a season-ending collarbone fracture upon his return.

[23] Carrier immediately joined the team on the road, making his Canadiens debut at Little Caesars Arena two days later versus the Detroit Red Wings.