Brett Pesce's shot through traffic from the right point gave the Hurricanes a 3-0 lead at 2:38 of the second.
Teuvo Teravainen took a pass from Tony DeAngelo and scored a power-play goal at 9:36 to make it 4-0.
Lizotte cut it to 4-1 with a wrist shot from the left face-off circle at 15:33.
Jack Drury scored his second goal in his second NHL game at 14:29 of the third period for the 5-1 final.
"All the guys who have come up from Chicago, I think we've molded in nicely and just tried to help the team win," Drury said. "I feel like we were ready to compete today, and I think everyone bought in."
McLellan gave credit to Carolina's reinforcements. Josh Leivo had the primary assist on Pesce's goal for his first point with the Hurricanes in his third game, and Andrew Poturalski assisted on Fast's goal for his second assist in his second NHL game this season.
"If you're in the NHL, you belong here," McLellan said. "They're veteran players, they're a little bit older, they're leading the American league in scoring. The frustrating part isn't that those 'tweeners' were here and playing, the frustrating part was what we didn't do."
NOTES:Andersen made 13 saves in the first period. … Hurricanes center Martin Necas left the game with an upper-body injury after a hit along the boards by Kings defenseman Sean Durzi at 9:26 of the first period. ... Kings goalie Cal Petersen was placed in NHL COVID-19 protocol before the game. Jacob Ingham was recalled from Greenville of the ECHL and served as Quick's backup. … Lizotte has one goal and one assist in two games since his return from COVID-19 protocol … Kotkaniemi, who played his 200th NHL game, has one goal and four assists during a three-game point streak. … The Hurricanes are 14-for-14 on the penalty kill in the past five games.