I have a problem with the Xbox, namely the game chat does not work. I've tried everything, whether in the settings or on the headset. Regardless of which game I'm in .ps Everything goes perfectly at the party chat.
This is certainly due to your privacy settings.
I'll copy my answer to a similar question. Hope it helps you.
"When you open the settings you go to General at the top. There you go to Online Security and Data Protection. There again to Data Protection and Online Security. Right at the top of Xbox Live - Data Protection. Here you can individually set various things via View Details & Customize The fourth point here, communication & multiplayer, lets you set different things. So also the third point, which determines who can talk or chat with you. "
I've already tried this, everything is open to everyone.
It is strange.
Unfortunately I can't help either.
I'm sorry.