I'm not entirely sure if the Xbox has support for a commercial webcam like this. It all depends on what you are using it for. If it is for some kind of video chat application like skype, it may work, but if it is something gaming related, it won't work
you wont be able to utilize it features i use it for streaming on xbox currently if you would like to sample some stream footage with this cam you can check out my past streams at https://mixer.com/beastlife1599 and if you like then drop me a follow lol
i use it for this very thing and my stream is on mixer if youd like to sample some footage of a stream look me up on mixer and watch past stream https://mixer.com/beastlife1599