Silfverberg had a torn labrum and a hip impingement repaired and is expected to need 4-6 months to recover. He is expected to be ready for the start of next season.
"Jakob is a great teammate and leader in our locker room," Ducks general manager Bob Murray said. "He did everything he could to continue playing, but after two years dealing with this issue, now is the right time to help him get to 100 percent. He has been an impactful player in all situations for us, and we are confident he will return to full health by next season."
Silfverberg scored 16 points (eight goals, eight assists) in 47 games. He scored at least 20 goals in four of the prior five seasons.
Anaheim (14-26-7) is last in the eight-team Honda West Division, 10 points behind the fourth-place Arizona Coyotes. The top four teams qualify for the Stanley Cup Playoffs.
The Ducks host the Vegas Golden Knights on Saturday (9 p.m. ET; BSSC, BSW+, ATTSN-RM, ESPN+, NHL.TV).