Go to Integrations > Channel manager > International > Airbnb.
Here you can use the toggle slider to turn the connection on and/or off as required.

The property in the screenshot below is connected and the integration is active.

The listing needed to be temporarily taken off Airbnb.
The connection is still there and can be re-activated at any point, but right now the property is no longer forwarding any data to Airbnb. The property will be snoozed (not being visible to guests) on Airbnb.