Whether you are on the US or European site of the Amazon platform, as long as you are stationed on the Amazon platform, you need to have a trademark. Starting from May 2017, you must have an R mark (authorized) before filing, and it must be Only plain text trademarks (submitted in standard fonts) are acceptable.

Since Amazon is an e-commerce platform in the United States, many people think that they can only apply for U.S. trademark registration. If European countries enter the Amazon platform, they must register a U.S. trademark, or they must register a trademark.