I flew commercial with no problems from LA to Philadelphia two weeks after successful/no complications translab surgery. The post-op instructions from my surgeons said "Air travel is permissable two days following surgery... When changing altitude you should remain awake, and chew gum to stimulate swallowing."
My good ear felt some pressure which I cleared by swallowing/yawning/chewing gum as I normal do, no problems. My AN-side ear... I essentially felt (and heard, of course) nothing. No additional feeling of pressure, no pain, no popping, etc. ...nothing. Not what I expected, but certainly welcomed! For me, the flight home two weeks after surgery was a big non-event. Once home, besides being a bit wobbly on my feet from the very bumpy flight east of the Mississippi, I felt no additional/unusual discomfort on my AN-operated-side as a result of the flight.
I'm ~three months post surgery now, and wouldn't hesitate to fly (if I had somewhere to go)
Take Care