I did some research into this and found a few people who had done this with other headset brands and models, however not the 720 that I own. I started by taking the Xbox One headset apart, the included one in the box. I found which wires powered the speaker, chat mic and the ground. Secondly, I took the chat cord that runs from the Xbox 360 controller to the communication hub on the TRITTON headset where you could mute and change volume. I cut the end off of the cord at the controller side and pulled back 3/8ths of an inch of insulation and shielding, then separated the wires. There were THREE wires, one was RED, another BLACK and a SILVER unshielded wire.
I will show with pictures what this looks like and the correct wire configuration for FLAWLESS party and public CHAT function.
You will need;
T6 driver. Torque bit, looks like a star.
Soldering Iron, flux and solder.
OPTIONAL- Hot Glue Gun. This is highly recommended.
Wire cutters, strippers.
Step 1: Prep Wires to Connect to the Xbox One Mic Controller.
-SILVER UN-SHIELDED -RIGHT-
Do not worry about the contact on the far left, it is un-used. SEE pic for better example.
I only stripped the RED and BLACK wires back about an 1/16th inch. The area in which you have to solder the wires to the control board is very small. The less exposed wire, the better. No need for an un-needed short! Once everything is soldered in and TESTED working, yes test it prior to re assembly, get the hot glue gun and set the wires in glue. I glued the soldered contacts top and bottom so that the wires would be shielded from the board and were supported incase they were pulled on a bit. The connections are fragile, the glue will keep them from being pulled away.
Step 2: Finished Product
This is my first write up, if there are questions please ask.