I installed Wine and tried to install Evernote with it. I got an old install file of Evernote (5.6.4.4632) because this version worked under Ubuntu 14.04. I'm now using Ubuntu 15.04.
When I launch Evernote, an error message pops up, telling me that it can't connect to the server.
So I downloaded Firefox for Windows, installed it using Wine and it has internet access.
I also tried cleaning out my Wine prefix and using a newer version of Evernote (5.8.13.8152) in case the server doesn't accept the old one any longer.
[ I'm aware of the fact that there are alternative clients but I prefer the original application for various reasons. ]