I believe you want to ask the question "Why can't a plane fly slowly and let the Earth pass underneath?"
A plane sitting on the ground is moving with the surface of the Earth, and while it appears to us to be at rest, it is actually moving at around 1,000 miles an hour (the exact value depends on your latitude). When it takes off, it still has speed from sitting on the ground.
Let me know if it does not satisfy...
