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 Gold vezeték nélküli sztereó gaming headset PS4-hez, Fortnite Neo Versa Bundle, Fekete - eMAG.hu
Sony Rose Gold Wireless 7.1 Surround Sound Gaming Headset for PS4 (EU Edition) - Walmart.com
Sony PlayStation 4 Gold Wireless Headset Bundle - Fortnite Neo Versa PS4 | eBay
PlayStation Gold Wireless Stereo Headset Review - IGN