Larkin had a goal and an assist for the Red Wings (20-20-6). Alex Nedeljkovic made 14 saves, two nights after Detroit allowed five third-period goals in a 7-4 loss to the Toronto Maple Leafs.
"We did a lot of good things in that game, but it is frustrating to give away a chance to win a game like that," Red Wings coach Jeff Blashill said. "I was happy with the way we responded. We managed the puck well, which meant we didn't have to do as much defending."
John Gibson made 26 saves for Anaheim (23-16-9), which has earned a point in six straight games (4-0-2), including 3-0-2 on the road. The Ducks aren't scheduled to play again until after the All-Star break, when they host the Seattle Kraken on Feb. 11.
"Even though we gave up the extra point tonight, I think our guys should be really holding their heads high," Ducks coach Dallas Eakins said. "That's a [heck] of a road trip, to go three time zones, play some good teams and battle it out and find a way to get points."
Eakins returned after missing five games in NHL COVID-19 protocol.
"I've never felt better," he said. "It was super frustrating, but I was very grateful I didn't have to go through what a lot of people have gone through. I had a stuffy nose."
Larkin gave Detroit a 1-0 lead at 19:22 of the first period, beating Kevin Shattenkirk to the outside and flipping the puck under the crossbar.