You should not assume it is safe to fly right after surgery and anesthesia. The sources say anesthesia can affect your thinking, judgment, reflexes, and alertness for about 24 hours, and sometimes longer after major surgery. They also say you should not drive for at least 24 hours, and you may still be sleepy or unsteady during that time.

The sources do not give a clear rule for flying. They do say you should have someone take you home after surgery, and that you should avoid important decisions, alcohol, and other tasks that need clear thinking for up to 24 hours after anesthesia or sedation. Verify the exact plan with your surgical or anesthesia team in case they want something different for you.