Hi Scotty ~ I'm sorry you suffered this injury. It would have been better to have broken a bone!! It would have healed faster.
Nerves DO have the capacity to heal on their own. The AVERAGE rate of healing is one inch per month ~ that's the average. Some heal faster, some slower. So if you injured a LONG nerve, it could take awhile.
It's best if you don't stress this area, but try to protect it as much as possible as it's already inflamed and irritated.
Were you given any anti-inflammatory meds to take? You can find some over-the-counter, such as Motrin. Take those ONLY as the instructions indicate, as they are hard on the stomach and can cause bleeding without warning.
But these should help with the inflammation. If it's still painful, use ICE for 20 minutes every 2 hours. That also will reduce inflammation and pain. It could help speed up the healing process. But you will STILL have to be careful with it. Once you've injured an area like that, you're more apt to re-injure it. So try to protect it if possible.
Pain is NOT a good reason for surgery. Surgery only corrects mechanical problems and does NOT rid you of pain. Usually after surgery you are left with the SAME pain or worse. The doctor was right in telling you not to have surgery as the surrounding muscles/tendons/tissues WOULD probably be damaged and you would be worse off than you are now. Stay conservative and wait for this to heal on it's own. I wish you the very best. Hugs, Lee