Should I use Greek Web Hosting only for .gr domains?

Of course not.

This is the most common misunderstanding. Many customers ask whether the web hosting packs in Greek servers can only be used for .gr websites.

Naturally, this doesn't stand! You may use Greek web hosting for uploading and hosting websites, which name has any extension, such as .eu, .com, .net, .info, .biz or anything else you will choose!