Hello,
If you adjust the GD Author Actions widget you can give listing owners the ability to delete a listing.
You could also add a custom field that states “Availability: Booked/Available” with a badge to emphasize the value for clarity, and perhaps an Advanced search option to make it easy for users to find available listings.
Another option is to add a category that computes as “Not Available” and to exclude that category from maps and GD Listings.
Other than that, unfortunately there aren’t additional options for listing owners to adjust the publish status for a listing.
I have taken this up as a suggestion and will share it with our development team to see whether we can work on this in the near future.
Please feel free to make a new topic if you need help with anything else.