Be aware that some of these pre-cut PPF and vinyl overlay panels might not be a very good fit in all cases. A guy on the VW Golf R forum recently wanted to fit a vinyl overlay to the trim panel surrounding the gear selector in their mk7.5 Golf R to hide some deeper scratches. After researching on the internet they found the exact pre-cut vinyl overlay they needed so ordered it.
When it arrived, the fit was poor so they didn’t bother fitting it.
Some (many?) professional car detailing companies offer a PPF installation service - usually applied to external panels of vehicles to protect against stone chip damage rather than interior trim. You could research detailing companies in your area to see if they could cut and install a clear PPF panel to cover interior trim around your gear selector. I dare say it would cost more than buying a pre-cut section and fitting it yourself though.
A cheaper alternative might be to polish out the scratches if they’re only very light surface scratches. Might be worth doing an internet search on ‘polishing out surface scratches from piano black interior plastic trim’ (or similar search) to see if this would be possible, what products are available and the method(s) to use for best results.