The Ducks did not generate a shot on goal in the second period until Carlsson sprung loose on a 2-on-1 break and scored with a wrist shot from above the right hash marks to cut it to 2-1 at 11:32.
Carlsson has six points (two goals, four assists) in the past three games.
"I see him have the puck more than we saw in camp, and I thought he's working hard," Quenneville said. "His use of the stick has been better, and he's sustaining pucks and the speed is lethal, so he's been effective."
Dostal stopped K'Andre Miller on a breakaway just after Carolina killed a power play to start the third period, but Nikishin scored shortly afterward on a one-timer from the inside edge of the left circle to extend the lead to 3-1 at 2:38.
Nikishin has a four-game point streak (one goal, three assists) to start the season.
"He's kind of scratching the surface," Brind'Amour said. "There's a lot of raw ability there. That was a big goal. It kind of put the game away."