The same is true for third-party PlayStation 4 controllers, with Sony saying that all of the above “will work with supported PlayStation 4 games” on PS5.
Some of the more niche accessories, “specialty peripherals such as officially licensed racing wheels, arcade sticks, and flight stick” will work with both supported PS4 games and PS5 games as well.
While the PlayStation 4’s DualShock 4 controller is able to connect to the PlayStation 5, it can’t be used to play PlayStation 5 games.
As for other accessories, PlayStation Move controllers will cross into their third console generation and will be used to play “supported PS VR games” on the PlayStation 5.