Depends on what anesthesia method is used.

Simple local anesthesia (including half-body anesthesia) will not make the patient fall asleep.

If the operation takes a long time, the anesthesiologist will use some drugs to make the patient sleep. Of course, snoring will occur. If snoring affects breathing during anesthesia surgery, the doctor will deal with it promptly.

Surgeries under general anesthesia generally require airway management, so you can’t snore even when you’re asleep.

Snoring may still occur after the operation, and the doctor will also do some treatment, usually just waking the patient up when snoring.