Remove Parents From Permalink of Hierarchical Taxonomy

Simply set to false ‘hierarchical’=>true from rewrite parameter in your register_taxonomy.
It should looks like this:

register_taxonomy('places', 'post', array(
    // Hierarchical taxonomy
    'hierarchical' => true,
    'labels' => array(
        //here your labels
    ),
    // Control the slugs used for this taxonomy
    'rewrite' => array(
        'slug' => 'places', 
        'with_front' => false, // Don't display the category base before "/places/"
        'hierarchical' => false // This will avoid terms concatenation!
    )
));