Rosen, who was injured Oct. 8 at Arizona State, is expected to make a full and complete recovery. He was officially ruled out for the remainder of the season last Thursday prior to the Bruins' loss to Colorado.
The surgery was performed by renowned shoulder, elbow and hand specialist Dr. Ranjan Gupta, Professor of Orthopedic Surgery at UC Irvine Medical Center and a member of the American Shoulder and Elbow Society.
Rosen did not accompany the team to Colorado, missing his third consecutive game due to the injury.
UCLA (3-6) has turned to former walk-on Mike Fafaul in Rosen's absence. Fafaul has thrown for nine touchdowns but also nine interceptions over the last four games since taking over, including a 464-yard, 70-attempt performance against Utah.
Rosen had completed 59 percent of his pass attempts for 1,915 yards, 10 touchdowns and five interceptions in six games before being sidelined. He passed for a season-high 400 yards in the loss to the Sun Devils despite missing a few series while dealing with a lower body injury and then the shoulder issue.
The Bruins wrap up their regular season with home games against Oregon State (Nov. 12) and USC (Nov. 19) before traveling to California (Nov. 26). UCLA did not specify whether Rosen would be ready to return for spring practice.