Thanks @ChrisHaas for figuring it out. The solution was to use the fully qualified class name and since it was a static function the correct code was:
<?php
add_action( 'wp_ajax_nopriv_run_cff_clear_feed', 'myCFFclearFeed');
function myCFFclearFeed() {
require_once '/var/www/wp-content/plugins/custom-facebook-feed-pro/inc/Builder/CFF_Feed_Saver_Manager.php';
require_once '/var/www/wp-content/plugins/custom-facebook-feed-pro/inc/CFF_Cache.php';
\CustomFacebookFeed\Builder\CFF_Feed_Saver_Manager::clear_single_feed_cache();
}
?>