Chosen Solution

Does anyone have any idea how I can remove the engraving that Google puts on the phone?

Some light sanding but I wouldn’t advise it, it could be a pretty bad thing for the case, as well as could result in some ugly scratches.

This 3M headlight restoration kit would do the trick. You can also use this to buff scratches from any plastic, including the iPhone’s glossy rear panel.

You can also use a bit of chocolate of all things. Cheap chocolate especially, due to it’s highly crystalized structure, it abrasive. Using this method although time consuming, will eventually buff out engraving and bring a high gloss polish to the surface.