I have a haxe code at the below:
private function get_parent() : DisplayObjectContainer
{
return !!(_parent != null) ? _parent : super.parent;
}
However, Haxe always reports super.parent with error:Normal variables cannot be accessed with 'super', use 'this' instead
Who can help me? Thanks a lot.

It seems your class is already a DisplayObject, and as such the parent should not have multiple possibilities for where it is defined. Can you simply try
return this.parent;?