Hey
I do not know what ports are in a Xbox1 but if it has either 3.5 headphone and mic jacks or a USB port than this will work just fine. I use the G430's with a computer and I think it works great. The sound quality is great ( for the price) and the mic can pic up detailed sounds. And unless you are like crazy about your sound quality these are amazing. The only thing I dislike about them is that after an hour or two of wearing them, the top head pad starts bothering me. I fix this by just moving them forwards or backwards on my head. So yeah great headphones. And you can't beat the price.
Hope this helps.