Me too, I solved it by
Changing :
if (!isset($existing_id)) {
$new_post['post_status'] = $opt_draft;
}
to :
if (!isset($existing_id) || isset($data['csv_post_status'])) {
$new_post['post_status'] = isset($data['csv_post_status']) ? ( $data['csv_post_status'] != '' ? $data['csv_post_status'] : $opt_draft ) : $opt_draft;
}
on file: plugins\csv-importer-improved\csv_importer.php around line 318.
Note: ‘csv_post_status’ column must be present on csv file.
Hope it helps.
https://wordpress.org/plugins/csv-importer-improved/