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 review - SoundGuys
Sony Wireless Stereo Headset Headset Pad | Sony Gold Wireless Headset Ps4 Cushions - Protective Sleeve - Aliexpress
Sony PlayStation 4 Gold Wireless Headset - Black | GameStop
Sony PlayStation 4 Gold Wireless Headset Bundle - Fortnite Neo Versa PS4 | eBay