The Brewers disclosed the surgery Tuesday. Narveson was 11-8 with a 4.45 ERA this season. He made six postseason appearances for the Brewers, giving up nine runs in 7 1/3 innings.
The team also reinstated right-hander Brandon Kintzler from the 15-day disabled list and left-handers Manny Parra and Mitch Stetter from the 60-day disabled list. Infielder Josh Wilson and right-hander Mark DiFelice have been outrighted to Triple-A Nashville.
The transactions leave the Brewers' 40-man roster at capacity. The team also re-signed infielder Edwin Maysonet to a minor-league contract.