Do not import items that do not have images.

feedzy-do-not-import-items-without-images.php

<?php
/*
Plugin Name: Feedzy tweak - Do not import items that do not have images
Version: 0.0.1
Author URI: https://themeisle.com
*/
add_filter( 'feedzy_insert_post_args', 'feedzy_insert_post_limit', 10, 4 ); 
function feedzy_insert_post_limit( $args, $item, $title, $content ) { 	     
// empty title and content prevents WP from inserting a post. 
	$allowed = array('gif', 'png', 'jpg', 'jpeg');
	$filename = $item['item_img_path'];
	$ext = pathinfo($filename, PATHINFO_EXTENSION);
	if (!in_array($ext, $allowed)) {         
		$args['post_title'] = '';         
		$args['post_content'] = '';     
	}     
	return $args; 
}