In this article you can find some compatible controllers that work with Stadia.
This information might also be helpful for you:
- That table does not provide an exhaustive list of gamepads/controllers that may work with Stadia. Other gamepads may also work, depending on their compatibility with Chrome and Android. Also note that not all gamepads will be compatible with non-Pixel Android devices. You can contact your device's manufacturer for information on which gamepads are compatible with your device.