Disconnect the headset from the controller, then reconnect it firmly.
The number one cause of Xbox One headsets malfunctioning is a poor connection between the headset and controller.
Unplugging the connector, then firmly plugging it back in, often takes care of the problem.
Jeremy Laukkonen
Check your privacy parameters.
Confirm the headset isn’t muted.
Depending on the headset, there may be a mute button on the adapter or an inline mute button.

Press the mute button and attempt to raise the volume to see if that helps.
Examine the Xbox One headset, cord, and connector.
Use a different controller and a different headset.
Jeremy Laukkonen
This is the best way to check that there’s a problem with your controller and not the headset.
Examine the headset port on the controller.
Using a flashlight, look inside the headset port on the controller.
Jeremy Laukkonen
If you see any obstructions, remove the debris with a small implement like a toothpick or tweezers.
Even if you’re free to’t see anything, there may be dirt or other debris stuck inside.
Blow the port out with compressed air to see if anything comes out.
Replace or repair the headphone jack.
If possible, use a static strap, and be very careful when handling the internal components.
Carefully remove the panels from the sides of the Xbox One controller.
Remove the five hex screws holding the controller together.
One screw is hidden behind a sticker in the battery compartment.
Remove the front and back covers from the controller.
Examine the headphone jack.
If it’s loose, it probably needs to be replaced.
Remove the two screws that hold down the upper circuit board.
Carefully lift the upper circuit board and examine the headphone jack.
If the prongs are broken, you’ll need to replace the headphone jack component.
What Causes an Xbox One Controller Headphone Jack to Stop Working?
When an Xbox One controller headphone jack stops working, it’s either due to a hardware orfirmwareproblem.
Audio problems are sometimes attributed to the headphone jack when something else is to blame.
Then, clean the controller and headset, update the controller firmware, and power cycle the console.
Your headset must support Microsoft’s wireless protocol.
To use a USB headset that plugs directly into your console, it must specifically support Xbox One.
Most non-gaming USB headsets won’t work.