The surgery was performed by Dr. Neal ElAttrache in Los Angeles and deemed successful. Watson is expected to begin rehabbing Friday and be ready to play before the start of the 2024 season.
Watson suffered the shoulder injury Nov. 12 in a 33-31 win over the Baltimore Ravens.
Earlier in the year, he missed all but one quarter of four games with a rotator cuff strain to the same shoulder.
This week, the Browns also signed 38-year-old quarterback Joe Flacco to take Watson's spot on the roster.
Watson has three seasons left on the $230 million fully guaranteed deal he signed with the Browns in March 2022.