Corey Perry scored with 2:25 remaining in the third period on Sunday night and Anaheim edged Columbus 4-3, ending the Blue Jackets' three-game winning streak.
"It was just one of those ones where it takes a weird hop and came right to me," Perry said, converting his sixth season of the season. "If it didn't go in I probably would have had to hear about it from the bench."
The Ducks lost Koivu late in the second period on a hit that resulted in the ejection of Columbus' Brandon Dubinsky.
Koivu, who had just passed the puck crossing into the Columbus zone, took a blow and had to be helped from the ice. He did not return.
Dubinsky said he didn't have any malicious intent and was just trying to read the play.
"I think my shoulder and elbow were tucked," he said. "It's a fast game. I'm not a dirty player. I think I play the game honest. I went out there to try to make a body check, not injure Koivu or make a dirty hit."
Ducks coach Bruce Boudreau wanted to see the play in slow motion before getting too emotional.
"I'm sure it will be discussed by a lot of people," he said. "It does me no good stating thoughts and things like that. We'll see what happens."
Artem Anisimov scored twice, rebounding from a hard first-period check by Francois Beauchemin, and Blake Comeau scored his first of the season for Columbus, which finished a four-game homestand at 3-1.
Bobrovsky, last season's Vezina Trophy winner, stopped 28 of 32 shots.
Anaheim is playing the fourth of an eight-game road trip. The Ducks improved to 2-2 on the trip after starting the season winning seven of their first eight games. Rookie Frederik Anderson made 18 saves to improve to 3-0 on the season.
Tied at 2, the Ducks began the third period on a five-minute major power play with Dubinsky sent off.
Anaheim's struggling power play ranked last in the league took advantage with Etem stuffing home the rebound of a Teemu Selanne shot at 1:51 of the third for his second of the season.
"We did absolutely need it because I thought that was going to be a complete game changer if we didn't score on that power play," Boudreau said.
Columbus kept plugging away and Anisimov made it 3-3 with his fourth of the season at 8:24, redirecting James Wisniewski's point shot.
"(Losing Dubie) definitely hurt us but other guys stepped up," Blue Jackets left wing Nick Foligno said. "They scored on the power play and we found a way to get one. It seemed like the game was headed to overtime."
Comeau opened the scoring at 12:56 of the first period.
Anaheim pulled even 19 seconds into the second period with Getzlaf, on a nifty behind-the-back pass from Perry, zipping a low shot from the right dot for his fifth of the season.
Holland made it 2-1 at 6:59, throwing an off-angle shot from near the left end line that squeezed inside the near post past Bobrovsky.
The Blue Jackets, who didn't register their first shot of the period until midway through, scored a short-handed goal for the second game in a row to get back in it.
Cam Fowler bobbled the puck and Dubinsky stole it and sent Anisimov on a breakaway. He deked Anderson to make 2-2 at 12:12.
"The guys stuck together and battled right to the end," Etem said. "It was a huge win."
Columbus' next game is Friday at Pittsburgh to start a home-and-home series with the Penguins. ... The Ducks continue their road trip Tuesday in Philadelphia. ... Columbus general manager Jarmo Kekalainen and Teemu Selanne played together on Team Finland at the 1991 Canada Cup tournament. ... Anaheim is 6-0 in one-goal games.