Are you sure your layer "player" is at the same ordering position in all layouts ?
Is it in front (on top) of background layers you don't want it to appear under ?
Is your player object global ? Is its layer propery set to "player" (name of the layer) and not a number ?
You should consider posting the capx of your project as this will be easier to investigate and tell you precisely what may be going wrong.
For examples of how to properly use layers, I'd suggest you check out some videos from the C2 Academy, they'll show you how it works exactly.