Is it permissible to prevent one's parents from visiting their son at his residence abroad, under the pretext of preserving the marital relationship and avoiding problems between the wife and the mother, knowing that the mother constantly verbally abuses the wife and interferes in her life?

You are advised to try to reach an understanding with your wife and counsel her to be patient and enduring, even by compensating her with gifts. However, if she insists on refusing and the presence of the parents causes her harm, then she is not obligated to accept it. In such a case, a special place can be provided for their residence. If this is not possible, then apologize to them while being keen on honoring them dutifully.