I have never heard of it being called an air entry assessment, but I haven't heard of a lot of things...
For post op pts, I want to verify a patent, open airway. Are they snoring, how is there POx, is the chest rising bilaterally, how is their color, cap refill, is the HR normal...? How awake are they, can I lift the HOB, do I need suction nearby?
If they are ventilated, I would look at the tidal volume, Peak inspiratory pressures, vent rate, bilateral lung sounds...Do I hear an air leak, are they biting down on the tube, is the tube being obstructed by a large clog of mucus?? In addition, how are their VS?
Is that helpful?