Many unique app names are taken by apps that are not on the App Store. It would be nice if Apple could provide a convenient way to forward requests to the developers of those apps to remove or rename their app. This could appear in a developer's App Store Connect page as a notification on the unreleased app.
Ecosystem Feature Request: Relinquish App Name
I’ve seen a few posts here over the years from developers who believe that app names are unique. Why do you believe that? In my experience, Apple will approve apps with identical names to apps that are already on the store (one of my apps now has two such competitors).
Regarding your idea, why do you need Apple to forward your request? Can’t you just contact them directly? Beware, if Apple acts as middleman they may want 30% commission on what you pay for the app name!