Access iTunes Store on Linux

I searched and saw where this has been addressed before, but all the discussions were quite old, so I'm hoping there has been an update. I am trying to download a free app (History Channel) on my Apple TV. I get an popup stating I need to verify my payment info on the iTunes store thru an iOS device or my computer. Well, my computer is linux and my iPhone is DOA since getting wet and not up for replacement for several months, so until then, I'm on Android. Is there any way for me to update my info so I can add new apps to Apple TV?

Thanks in advance for any help y'all can provide.