Same reason it flies right side up.
Thats what im saying!! I does not matter theoretically if the plane flys inverted or right side up. The same forces apply. Think about it:
Plane right side up, needs up elevator to increase altitude (+,+). Plane inverted, needs down elevator to gain altitude (-,-). It does not matter, the plane gains lift the same way (with more elevator in either direction depending on orientation). So to say its different is wrong.