As I understand it, Matter uses Thread to communicate with low power devices.

Thread uses the IEEE 802.15.4 PHY and MAC.

Zigbee also uses the IEEE 802.15.4 PHY and MAC, using the same frequency bands as Thread as far as I understand it.

Maybe a new radio is needed if you want BLE commissioning (is this required?), but for operation any chip with a IEEE 802.15.4 PHY should support both Thread and Zigbee.

I think it can run on wifi or Thread (possibly zigbee too if I’m reading the wiki right) but I may be wrong. It also uses BLE but I think only for initial setup.