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. :
Pulse Explore Wireless Earbuds For Playstation 5 : Target
PlayStation Gold Wireless Headset review - SoundGuys
Amazon.com: PlayStation Gold Wireless Headset Rose Gold 4 : Everything Else
PlayStation Gold Wireless Stereo Headset review | TechRadar