Hi. I'm Erik from Sweden can I do what I want and play this on my Nvidia Shield? Regards Erik.
There is a way to do It by side loading some Chrome Beta and running it in Desktop mode. There is a YouTube video about it on Cloud gaming X
I do wish there was an official way to do it on android TVs might be coming in the future though
I would really love to see official Nvidia Shield support (or general Android TV) for Stadia, since on my TV the Shield and Chromecast Ultra are occupying 2 HDMI ports and that's kinda redundant.