A:Answer Yes, you can use this controller with the switch lite.
Go to:
Controllers
Select Change Grip/Order
Press the sync button on the Gamecube Controller (small round button located at top middle of the controller, between the shoulder buttons)
Once green lights begins blinking on the controller press the L and R shoulder buttons at the same time.
(you may need to press L & R a few times for it to connect)
after that you should be good to go.
Enjoy Gaming, its a great controller.