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 4 | Headsets & communication | Gaming & dvd | www.very.co.uk
PULSE 3D wireless headset | The official 3D audio headset for PS5 | PlayStation
PHOINIKAS Wireless Gaming Headset, 2.4GHz Wireless Headphone, USB Dongle for PS4/PS5/Switch/PC/Laptop, Detachable Noise Cancelling Mic, 7.1 Stereo, LED Light: Amazon.co.uk: PC & Video Games
Sony PlayStation Gold Wireless Headset Reviews, Pros and Cons | TechSpot