That looks stained pretty deeply, unfortunately.

You could try a solvent of some sort, that would almost certainly mean you have to refinish the whole top to get it to match, though. Another option might be to try some very light sanding with a fine grit sandpaper. Just have to be very careful with veneer that you don't sand through. Either way I would refinish with a wipe on polyurethane.

Honestly, though, for the work you would have to do, you may be better off just putting down some sort of decorative mat or runner.