Yes, the USB-C Wireless Charging Dock for AirPods works with AirPods (1st generation) when the AirPods are in the Apple Wireless Charging Case for AirPods. AirPods (1st generation) did not come with a wireless charging case. Only AirPods (2nd generation) had an option that included the Wireless Charging Case, and AirPods Pro models include one.

A wireless charging case has an LED light on the front of the case. The LED lights up orange briefly while charging and green when fully charged.

To see which AirPods models Satechi has confirmed, see the USB-C Wireless Charging Dock for AirPods Device Compatibility article.