Chrome peeling on gear selector

I recently bought a 2007 XKR with only 39k miles. The car is in amazing condition except for the chrome is peeling around the gear selector slot. From the research I’ve done the top of the gear selector cover is part of the entire selector part # 6W837K004CC and not available separately as on most most Jags. The complete gear selector part is over $500 and takes a lot of work to install.

Has anyone dealt with this problem.

Thanks Andy