Yes, one of the surgeries performed to remove hemorrhoids is called hemorrhoidectomy, whereby the surgeon slices the hemorrhoids away by making small cuts around the anus to slice them away. Hemorrhoidopexy, or stapling, is another type of hemorrhoid surgery involving anesthesia. Other surgical procedures to remove hemorrhoids include banding, sclerotherapy, Coagulation therapy, and hemorrhoidal artery ligation (HAL). The type of surgical procedure you and your doctor decide on involves several factors including the size.