The Quadstick can directly connnect to the Switch and emulate a Nintendo Pro Controller over USB.
In System Settings, Controllers and Sensors, Pro Controller Wired Communication must be turned on.
The Switch only allows 45 seconds after it is turned on for the A button to be pressed, or it will go back to sleep. Pressing the A button on the JoyCon will prevent the Switch from going back to sleep. If using only the Quadstick and the Switch is powered up using its power button, the Quadstick needs to be changed from the default configuration to a Switch game configuration file (that has USB emulation mode 5) and the A button pressed within 45 seconds. This can be difficult for new users.
If the Switch goes into sleep mode, the Quadstick will reset continuously and may need to be unplugged and plugged in again to work. Sleep mode can be disabled in the Switch's System Settings, Sleep Mode.
Sample Direct connection configuration spreadsheets:
The Coov N100 converter is very simple to use, just connect it between the Quadstick and the Switch’s USB port. Select a configuration file with the XBox 360 emulation mode. Coov firmware updates are very simple to apply when needed.
The Brook Super Converter is more difficult to update and use, but since it actually connects wirelessly to the Switch, it only needs power and the Quadstick plugged in the back, allowing more flexibility in your cables.