The PlayStation Gold headset is probably the only wireless headset which is directly compatible with PS3, PS4, PS5, Android, PC, Switch (Personally tested) Get hold of them before they are super rare. :
PlayStation Gold Wireless Headset - PlayStation 4
A New Comfort-Focused PlayStation Gold Headset Arrives This Month | Digital Trends
Sony PlayStation Gold Wireless Headset 7.1 Surround Sound PS4 New Version 2018
Soft Headband Earpod for Sony Gold Wireless PS3 PS4 7.1 CECHYA-0083 Headphone | eBay