Admin have full control over Listing Approval/moderation Options.
Admin can moderate listings from back-end by going to .Dashboard / Listings / Edit listing.
navigate to the bottom of the page where you see Listings options.
Admin can be set listing default status with out admin approval.
Turn this switcher OFF to allow direct publishing of submitted listings by member without review / moderation. If this switch is ON, listings will be published after admin review / moderation.
Dashboard / WP DB / Settings /General Options.Listing default status.