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 Wireless Gold Stereo Headset (PS4) - Tokyo Otaku Mode (TOM)
Sony PlayStation Gold Wireless Headset (White) 3003339 B&H Photo
Amazon.com: Playstation Gold Wireless Headset - The Last of Us Part II Limited Edition - Playstation 4 Accessory : Video Games
PlayStation Gold Wireless Headset Review (2018): Finally Golden | WIRED
PlayStation 4 Gold Wireless Headset Rose Gold | GameStop
Sony Gold PS4 Wireless Stereo Headset Review — Gadgetmac