Yes, you just need that adapter that plugs into the Xbox one controller, then you plug the headset right into it. The adapter cost around $20. But you should look for one that comes with one if you can, it might save you money.
Xbox One doesn't have the component plugs to make this headset work with it. You may be able to get around this if you are currently setup through HDMI on Xbox 360.
Works on 360 only unless you can use your tv for hook up. There's an adapter for 360 only. Xbox one has an adapter for your controller and you can use any headset.
Yes, pretty much any headset works with ps4 controllers. Basically your just using the headset, the adapters kinda useless for the Xbox one and ps4. Just plug right in.
Yes, this headset is compatible with PS4™. For full PS4™ compatibility, you will need to update the PS4™ system software to 1.50 and have stereo output connection from the TV or audio receiver for game audio.