The US Ski Team confirmed that the operation was a success, while Dr William Sterett, who performed the surgery, is optimistic that the 28-year-old can make a full recovery.
"She will do everything in her power to return as quickly as possible to competitive skiing," Sterett said.
Vonn's season was ended by the horror crash during the women's Super-G race at the World Championships in Schladming.
She is aiming to defend her Olympic gold medal in downhill in next year's Games at Sochi.
