Graham was lost for the remainder of the NFL season due to the injury, suffered in the fourth quarter of Seattle's 39-30 victory over Pittsburgh.
"Everything, as the doctors would report, it went really well," Carroll said. "He was uncomfortable, I know, the next couple of days. He was fighting through it to get back, started getting back. Looking forward to his return and his spirits are looking ahead and all that. It was a difficult surgery for him."
Graham is expected to return by the start of the 2016 season but no exact timetable for his recovery has been made, Carroll said.
Graham, 29, had 48 catches for 605 yards and two touchdowns and his loss is a blow to the Seahawks, who at 6-5 are battling for a playoff spot.