Does the TV only need an hdmi input to play with the stadia remote?

[BinaryJay]

You mean the Stadia Controller?  You don't need anything else other than an HDMI port to plug the Chromecast Ultra into (and a spare power outlet to power it).

I have to admit, I'm not 100% sure what you're asking here, though.

[Out_limits]

Thanks, I asked because my TV doesn't have a wireless connection.