It is not permissible for a man to obey his parents by making his wife not wear niqaab
Question

                if parents of the man wouldn't like his wife to wear nikab,does he has a right to ask from his wife or future wife to wear it,contrary to their will?
Praise be to Allah.It is obligatory on the husband to make his 
          wife observe proper hijaab as prescribed in sharee’ah and cover her 
          face. The evidence of the Qur’aan and Sunnah indicates that it is obligatory 
          for women to cover their faces, for example, the aayah in which Allaah 
          says (interpretation of the meaning): 
“O Prophet! Tell your wives and your daughters and 
          the women of the believers to draw their cloaks (veils) all over their 
          bodies…” 
[al-Ahzaab 33:59] 
The jilbaab (translated here as “cloak”) is a garment 
          which a woman places on her head and lets it drop over her face. 
And Allaah says (interpretation of the meaning): 
          
“and not to reveal their adornment except to their 
          husbands…” [al-Noor 24:31] 
The focal point of beauty and adornment is the face, 
          so it is ‘awrah. So he [the husband] should fear Allaah and not obey 
          his parents in this matter. He should make his wife observe proper hijaab, 
          for there is no obedience to any created being if it involves disobedience 
          to the Creator, as it says in the hadeeth of Ibn ‘Umar (may Allaah be 
          pleased with him), who said: “The Messenger of Allaah  
          (peace and blessings of Allaah be upon him) said: ‘To hear and obey 
          is a duty unless there comes an order to commit sin. If there comes 
          an order to commit sin, then there is no hearing and no obeying.” (narrated 
          by al-Bukhaari, al-Jihaad wa’l-Siyar, 2735).  How can he 
          anger his Lord by pleasing his parents? Let him fear Allaah and remember 
          that the Prophet  (peace and blessings 
          of Allaah be upon him) has made him responsible for his family, when 
          he said, “Every man is in charge of his family and is responsible for 
          those who are under his care.” (narrated by al-Bukhaari in al-Jumu’ah, 
          844). So praise Allaah for giving you a wife who is content to observe 
          proper hijaab. May Allaah help us and you to do all that is good. 
Fataawa al-Mar’ah al-Muslimah, 1/443-444