It's a satin finish so I've been pretty carefully trying to polish it out with some beeswax and a cloth but can't say that's improved it any!
Yes, laminate floors is made of two things.
1. A photograph of wood grain
2. A high density board made of compressed wood fibres / dust
Polishing the photograph will not make it come back if it has been scratched.
If you darken the scratch that will make it much less visible. The best tool if you don't have other supplies is a medium dark brown Sharpie pen or similar ( don't go too dark) If you make a mistake you can always lighten it a bit by rubbing the applied marker pen with a cloth dampened (not wet) with meths or vodka if you don't have anything else.
Sorry for the above message I'm just new here and must have got excited and don't know how to delete!!

The only problem with this I find is that the second you put any ink on it it goes black as it sinks into the MDF no matter the colour.
The liberon sticks are a soft wax and wont last any time on a floor.
Hard wax fillers applied with heat works well in deep scratches but going by the picture it doesn't look deep at all.
If I were doing the repair I would use the konig colour palette and paint in the grain, all you need to do is a light brown base colour then join up the the dark parts of the grain.
As long as you take the eye off it chances are no one will see it.
Hope this helps.