The 31-year-old Dane told the club's official website: "I'm delighted the operation has been a great success.
"The injury is still sore, but the specialist has told me that I can return to training in two weeks.
"Pre-season has been very frustrating. However, I do feel fit and I can't wait to be kicking a ball again."
Meanwhile, Bolton have handed a trial to former Real Madrid junior Alex Perez.
Perez was contracted to Primera Liga new-boys Nastic last season and is a free agent.