Although it is true, wife can't go outside her house without her husband permission, husband has no right to stop his wife to meet her parents. He shouldn't do it.
Your question has many facets to it to answer however In marriage both husband and wife need to discuss these issues openly with amicable and joint decisions. Communication is the key in any marriage. I would advise you to have good communication with your husband on his regard and you need to educate him about the rights of a wife and silatu Rahm.
Islam does not at all show any injustices to any gender and it is a very balanced deen.
I think you need to use your power of communication to ensure that he respects your views and opinion. You too have a God given right and you need to use it wisely.
Talk to him and share your concerns. I’m sure he will come round it and will value your opinion.