usb 3.0 to ethernet adapter for macbook air 7,2

Usually, no.

Check with the adapter vendor tech specs for details.

For a more specific answer, which USB-A to Ethernet adapter or USB-C to Ethernet adapter, and which model year MacBook Air?

Some options:

Thunderbolt: Thunderbolt to Gigabit Ethernet Adapter - Apple

Belkin USB-C: The Belkin USB-C to Gigabit Ethernet Adapter - Apple

Docks: https://www.brydge.com/pages/docking-stations

etc…

Generally ethernet adapters should not need a driver to be used, no. However, it will come down to the specific adapter being used and wether it has any specific not standard features that may require a driver or other added software.

Try to use it without the driver. It should not be necessary on macOS 11 or 12.

Plug it in, and look for the ethernet connection in System Preferences->Network

Contact OWC.

You are using a device listed as “Tested with macOS 10.13 - 10.15”, so results might differ on more recent macOS versions.