A:AnswerNo but if they have a microphone you may be able to plug them into the controller . My android headphones work as a headset for my xbox one controller , so you might have a chance at that working. This product is meant to hook up a wireless xbox one controller to your PC .
A:AnswerNo it will not, you need this adapter to connect your Xbox 1 controller to your PS4.
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A:AnswerI believe this is mostly used to connect bluetooth devices to any kind of computer that doesn't already have bluetooth functionality. For example: To use a bluetooth controller on your PC that doesn't already have bluetooth.
A:AnswerIf your Thresher is compatible for Xbox One (check the box), then you should be able to connect to the console regardless whether or not you have the adapter.