>>715427704
Find the right strength of solvent. Depending on how the logo and brand name were applied to the plastic, it may not be possible.
The letters/logo may be part of the coating (or is negative space, as in the plastic is white and the blue gradient is the only coloration), meaning a harsher solvent like acetone would tarnish that blue gradient.
Or the letters are set into the plastic, so even if you remove the white, you'll still have the letters ever so shallowly engraved into it, like the letters on the charging base below.

First try a mild abrasive magic eraser and/or isopropyl alcohol swabbing, go at it for several minutes.
Alternatively, get one of the custom faceplates that controller has. There are some white plates with the logo that is clearly printed on, that would be easier to remove and prevent any effects of tarnish.
You may even be better off taking the plate off and spraypainting it, customize it yourself and cover over the logo.