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. :
Sony Playstation Gold Edition Black Wireless Headset : Home & Office fast delivery by App or Online
Sony PULSE 3D Wireless Gaming Headset for PS5, PS4, and PC White 3005688 - Best Buy
Open Box: Sony PlayStation Gold Wireless Stereo Headset - Newegg.com