Yes, you can use this wireless headset on PS5 and Xbox Series X, as it is officially compatible with both consoles.
For the PS5 and Xbox Series X, the connection is via USB-C directly on the base, making it easy to switch between the platforms thanks to the PLAYSYNC AUDIO function.
Please note: the game/chat mixer works on Xbox Series X and PC, but not on PS5 with this version of the headset.