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. :
Best Buy: Sony Gold Wireless 7.1 Virtual Surround Sound Gaming Headset for PlayStation 4, PlayStation VR, Mobile Devices and Select PCs White 3004769
How to use the PlayStation Gold Companion App with your headphones | Android Central
Does PS4 Headset Work On PS5 - YouTube
Sony PlayStation Gold Wireless Headset (White) 3003339 B&H Photo
Sony PlayStation 4 Gold Wireless Headset - Black | GameStop
COMFORT & BUILD COMPARISON : PS5 Pulse 3D headphones comparison against the PS4 Gold headphones. - YouTube