Just download your music no need to mess with running a mediaplayer in wine.
Use clamz to download your music.
Clamz is intended to serve as a substitute for Amazon's official
MP3 Downloader, which is not free software. Clamz can be used to
download either individual songs or complete albums that you have
purchased from Amazon.
It is in the Debian repos and more than likely in Ubuntu as well.
Then read the man page for clamz.
In order to use clamz, you must first enable the ``MP3 dowloader mode'' by visiting the following URL:
If you are outside the US, replace `amazon.com' with the corresponding domain for your country (e.g., amazon.co.uk for the UK, or amazon.fr for France.) Amazon does not allow anyone to purchase MP3 files from outside their country of residence.
To download the contents of an AMZ file into the current directory, just run