Zucker and Granlund scored on similar plays in the second period to give the Wild a 3-0 lead.
Granlund held the puck behind the Anaheim net and waited for a teammate to cut toward the crease. Zucker made his move, and Granlund squeezed a pass between Ducks forward Ben Street and Gibson to Zucker, who chipped the puck high to make it 2-0 at 3:19.
Zucker then set up behind the Ducks net. Anaheim didn't pressure the puck, and Zucker fed Granlund cutting to the right post for a 3-0 lead at 7:17.
"It's one of those games, you know, you kind of just found a lot of space," Granlund said.
The Ducks scored after getting their first power play at 15:38 of the second period.
Defenseman Hampus Lindholm made a diagonal pass to Aberg at the bottom of the right face-off circle. Aberg made a quick stick move before shooting into the right corner to make it 3-1 at 16:53.
Brodin scored on a wrist shot from the left circle following a turnover in the neutral zone for a 4-1 lead at 10:06 of the third period, and Granlund made it 5-1 at 16:03.
Jordan Greenway gave the Wild a 1-0 lead 1:48 into the game. Joel Eriksson Ek had three Ducks surround him along the right half-wall with two others behind the play, allowing him to backhand a pass through to Greenway skating toward the left post. Gibson tried a poke-check, but Greenway pulled the puck to his right and slid it across the goal line.
Minnesota was coming off a 3-1 win at the Los Angeles Kings on Thursday.
"I was a little worried about the first period, thinking they would come out knowing we played last night really hard, and it was the opposite," Wild coach Bruce Boudreau. "We came out and sort of took a little bit of their spirit away."
Minnesota failed to score during 6:00 of power-play time in the first period. Anaheim forward Patrick Eaves received a double minor for high-sticking defenseman Nick Seeler at 7:05, but Gibson made five saves during the power play.
The Wild outshot the Ducks 19-5 in the first.
"We didn't have the execution level all night. I don't think it was necessarily the three penalties we took in the first period," Anaheim coach Randy Carlyle said. "It was right from the opening get-go. We didn't seem to make a tape-to-tape pass, we didn't seem to be able to execute, we didn't get inside on anybody or win any of the 1-on-1 battles we've been winning our share of over the last little while. We were just a flat hockey club."