Plane physics

I’m making a small game in which you will fly a plane. Currently I’m trying to make good physics, however I’m lacking knowledge about physics. Would be nice if someone could answer some of my questions.

For now I have one question.

Lets say that red rectangle is a wing, moving on horizontal axis (horizon) as shown by blue arrow, and is generating lift on vertical axis (green arrow). The result is that the plane is flying up.

In this example, the plane has stalled and is now falling to the ground. The wing is moving down on vertical axis, and is generating lift. Does this mean that the plane is now moving no horizontal (horizon) axis?

I’m kinda confused on this topic, because a lot of times in movies planes are falling down, and yet they are not moving on horizontal axis. (I mean its possible, but in movies planes fall directly downwards without any pilot interaction, I mean its movies maybe thats the reason :D)