Chrome Scratches

I doubt you can remove them - it is normal wear and tear -it happens.

May I suggest ignoring the scratches?

There are a bunch of metal polishes out there that will do this but they can also be hazardous to the shiny plastic finishes.

Use masking tape and care.

Another alternative is a set of guitar fret polishing sticks...they look like womens nail files but are much finer....they will remove the scratches and also come with a finishing side...again, masking tape and care are your friends.

I have a gouge in my bezel, and it looks to be metallized plastic, not chrome. I would just get a case that covers it up, so you don't have to look at it anymore.