You don't need to move data to an EU region, but you should disclose that data is moved internationally (ie. outside the EU). This is generally done through a "Transfer of Data" clause that looks like this:
https://termsfeed.com/blog/wp-content/uploads/2018/03/adobe-...
An example of consent from VSCO app for EU users to agree that data will be transferred outside the EU:
https://termsfeed.com/blog/wp-content/uploads/2017/10/vsco-e...