Amazon MP3 has been around for several months now. And it’s doing pretty good. And now the company’s gone and done another decent thing with is music download service: it has opened its doors to Linux users.
Indeed, the Amazon MP3 Downloader software bridge with which consumers are able to get their purchased songs off the Web and into their iTunes and Windows Media Player libraries, is now compatible with Ubuntu, Fedora, Debian, and OpenSUSE systems.
More Here 
Also: Dear Amazon, 
And: Install the Amazon MP3 Downloader