I simply do not have the finances available to test this out yet, so I am requesting help from someone who has the answer. I am aware of the original Xbox controller is not compatible with the 360, but does this hold true for the Xbox One controller on the 360?
Xbox One controller WILL NOT work with the 360. I have both consoles and have tested. Microsoft stated that the controller shall not work on 360. Meaning Xbox One controller works only with Xbox One and 360 controller works with/only 360 console.
But PS4 Dualshock controller works on 360 not sure about Xbox One though.
There is a way to that might work (I haven't tested) on the xbox support website they state that you can plug your xbox 360 into your xbox one through the HDMI IN slot
If you want to access your Xbox 360 console, you can plug your Xbox 360 into the Xbox One through the Xbox One’s HDMI In port.
This should in theory allow you to use your xbox one controller on your 360 console through the xbox one console. It's a bit weird since I don't know why you would want to do this except for possible controller compatibility. It also states that if you turn of the 360s kinect you will be able to use the xbox one kinect with your 360 through your xbox one. I believe it acts like the TV App on the xbox one console. There have been reports that this could cause lack when playing games - as I said I haven't tested this. This is all based on what has come of the Microsoft xbox one support site