The Sound card is only compatible with the Windows PC.  You can use the REACT 3.5 mm jack connector to connect it directly to the controller, but without the sound card. Depending on the controller you use, just connect the 3.5 mm jack to the connection of the controller:

REACT + is suitable for all 3.5 mm interface devices. Supports PC / SWITCH / PS4 / XBOX ONE / Wii U / Mac / Mobile, but the USB Sound Card is fully supported by Windows only.