[Manishearth]

The airplane works by pushing the air and gets a speed relative to the air. If the air is moving, the ground speed will need that speed added.

Ignoring the airplane pushing the air, an airplane can be pushed by wind too.

An airplane on the ground would not be pushed by air, because of friction. If you somehow managed to make an airplane float (without using the engines), this is no longer a factor; quite the reverse. The airplane will be dragged along by the air. "big things can't be pushed by air" is ground-logic, due to friction against the ground.