Perron fell heavily into the boards with his right shoulder during a 3-2 overtime win at the Winnipeg Jets on Sunday, seemingly missing an attempted check on Jets forward Mark Scheifele.
Perron, 27, was acquired from the Pittsburgh Penguins for forward Carl Hagelin on Jan. 16 and has eight goals and 20 assists in 28 games with the Ducks. He had four goals and 16 points in 43 games this season with the Penguins.
The Ducks are 21-5-2 since the trade.
"We'll figure it out," Boudreau said. "Someone goes out, someone comes in. It's an opportunity for a guy like, say, [Mike] Santorelli, who hasn't played the last three games. Now he can sit there and go, 'Ok, I don't want to sit out again.' Let's see what he's got."
Santorelli skated Monday on the Ducks' second line with Jamie McGinn and Rickard Rakell, while Brandon Pirri played left wing on the top line with Ryan Getzlaf and Corey Perry.
Perron got off to a hot start with the Ducks with seven goals and 16 points in his first 18 games, but he's slowed down of late with a goal and four points in his past 10. Still, Boudreau said he was an important piece the Ducks are going to miss.
"The first month he was outstanding," Boudreau said. "He started to taper off a little bit, but then our team has tapered off since we went through that winning streak. He plays to the inside, he's got good hands and our power play started to take off when he came on board. So even if he wasn't getting the points he was getting in the beginning, the power play was still doing well and he was a big part of it."
Boudreau said all the left wings on the Ducks might have a chance to get a look on one of the top two lines, including rookie Nick Ritchie and injured forward Chris Stewart, who is expected to return from a jaw injury at some point on the road trip.
"It's opportunities for these guys at what is the most fun time of the year for us," Boudreau said. "I hope they take advantage of it."
It starts with Santorelli and Pirri against the Montreal Canadiens at Bell Centre on Tuesday (7:30 p.m. ET; PRIME, FS-SD, RDS, SNE, NHL.TV).
Pirri will play his fourth game with the Ducks since he was acquired prior to the NHL Trade Deadline on Feb. 29 from the Florida Panthers for a sixth-round pick in the 2016 NHL Draft, missing time while recovering from an ankle injury and making his Ducks debut on March 16.
It will be his first opportunity to play with both Getzlaf and Perry from the start of a game since he arrived.
"I [can't] overthink it," Pirri said. "They're really good players, but at the same time I still have to play my game and not force them the puck just because of who they are."
There has been a revolving door on the left side of Getzlaf and Perry for years, so at least they are accustomed to welcoming new players on their line. Pirri is just the latest candidate.
"I'm going to talk to him a little bit about what I want to see, but you can't walk anybody through the game," Getzlaf said. "They've got to play the game and I want him to do what he does well, and also adjust to him a little bit."
