General anesthesia is definitely possible for apneans. Dental surgery is short enough that you won't need your PAP altho you should make sure that your dental surgeon is aware that you have OSA and use a PAP.
Its the longer surgeries - 2, 3, 4 or more hours under general anesthetic that your PAP might be needed in Recovery, not during the surgery itself. If they allow you to use your PAP in Recovery after a lengthy surgery it sure beats relying on a nurse to wake you up every time you desat!!!! You can just happily sleep off the anesthetic w/your PAP protecting you. Much more restful and reliable than a busy Recovery nurse w/more than one patient in her care.
ResScan 3.10 - Resmed S8 ResLink & oximeter
ConTec CMS-50D+ oximeter - Philips EverFlo 5L Oxygen Concentrator
PR SystemOne BPAP Auto w/Bi-Flex & Humidifier - EncorePro 188.8.131.52