Summary
You can connect your Xbox One to Google Assistant using the Google Home app for iOS and Android, or a Google Assistant-enabled device like Google Home.
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Google Assistant doesn't run locally on the Xbox One, so it can only receive commands from other apps/devices running Google Assistant.
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According to
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Xbox Support
xbox.com
We show you how to link your Xbox console with Google Home and Google Assistant ... Once you've connected the two devices and you're all set up, you're able to ...
the-ambient.com
Learn how you can use the Google Assistant on Xbox One. Launch games & apps, pause & play ... Connect your Xbox One to the Google Assistant through a variety ...
Google Assistant on Xbox One | Xbox One
xbox.com
Summary
You need to use the Google Home app for iOS and Android , or a Google Assistant-enabled device like Google Home, to voice-control an Xbox One. Google Assistant doesn't locally run on the Xbox One, so it can only receive commands from other apps/devices running Google Assistant.
How to control your Xbox One with Google Assistant
pocket-lint.com