Any tips or advice from specialists on how to handle IP violations, particularly regarding parallel imports?

How can these be successfully appealed?

Email the IP Issuer send the invoice along with a polite message requesting a retraction, what I always like to do is to explain that I run a family business etc.

Appeal to Amazon - submit an appeal to Amazon, including the invoice as evidence that you did not import.

Always remember to close and delete the listing asap.