Her parents do not have control over her. She has agreed to her parents telling her not to see you. If she loves you, she wouldn't have done that. You can't make her come back, the only thing you can do is whether to accept her when she wants to, if she wants to.
Your addiction to her isn't healthy and you need to put no contact into place to get over her and this time don't break it unless she does everything she can to get you back. And no, her telling you she loves you or miss you does not cut it.