Does Mezzmo run on Android TV (like nVidia Shield TV) and on Chromecast with Google TV?

Note that I'm not asking if I can cast from a phone. I'm asking if I can install Mezzmo from the Google Play store on these devices and operate it with the device remote, in the same way as I use it now on my aging second generation Amazon Fire TV.

My apologies if that's a stupid question, but I can't seem to find a clear answer.