To create an account, all you need is an email address and phone number. It does not require you to be within one of the "participating countries" listed on the website. Once the account is created, you will need to verify your identity and other info, but you can be in any country that accepts Bitcoin.
The countries that are listed on the page are ones that are eligible to transfer local currencies either within those or from country to country. Since currencies and Bitcoin have different regulations, the currency transfer is currently limited to just a handful of countries. Users should still be able to accept Bitcoin from Wyre, just like if they did from Snapcard.