Just like USB Wi-Fi, the adapter support will depend on the chipset used and the drivers available. Unless the device comes with Linux drivers, you may have to search the internet to obtain the suitable Debian Linux drivers.

If you find a suitable .deb file, you can install it with the following command:

sudo apt-get install firmware_file.deb  

Also, check using ifconfig, as some devices will be supported automatically, appear as eth1 (or eth0 on Model A), and be ready for use immediately.