To be more precise we have to say that a woman has to obey her husband in "not leaving the house without his permission".
She can use other means of communication for doing Silatu-l-arhaam i.e. to odserve her duty of having relationship with the blood-related family members, like in social media or through phone calls...
And in cases that she is outside the house and does not need her husband's permission,she can have an appointment to visit them.
So a man can never prohibit her from seeing her relatives or speaking to them.