Souray, 37, has not played a game this season as he tried to come back from the wrist injury that he suffered last summer. Dr. Steve Shin of the Kerlan-Jobe Clinic did a procedure to relieve arthritic symptoms related to his ligament tear.
"This is a difficult situation for Sheldon and a tough loss for the team," Ducks vice president/general manager Bob Murray said in a statement. "Sheldon has been in pain for quite some time. This surgery was his best course of action in order to alleviate pain and discomfort, and regain full mobility in his wrist."
Souray made a solid debut with the Ducks last season -- seven goals and 10 assists with a plus-19 rating.
The three-time All-Star signed a three-year contract with Anaheim after a lengthy career with New Jersey, Montreal, Edmonton and Dallas. Souray has returned from numerous injuries during his career, missing a full year with a wrist injury in 2002-03 and spending the 2010-11 season in the AHL during a dispute with the Oilers.
Information from The Associated Press was used in this report.