Resolved with this new code function :
/* Insert Page ID */
add_shortcode('pa_insert', 'pa_insertpage');
function pa_insertpage( $atts, $content = null )
{
// Default output if no pageid given
$output = '';
// Access $atts directly, no need of extracting
if( !isset( $atts['page'] ) )
return $output;
// Grab the page directly, no need of WP_Query
// get_post() could be used as well
$get_page = get_page( $atts['page'] );
if( !$get_page )
return $output;
// Do Shortcode in case the other page contains another shortcode
$output = do_shortcode( $get_page->post_content );
return $output;
}
