Answer
(Fatwa: 1877/1757=D/1429)
According to majority of Ulama, there is no inheritance between Muslims and non-Muslims, so no Muslim can nor inherit the property of his non-Muslim parents. It is mentioned in the Hadith:
لايرث الكافر من المسلم لا المسلم من الكافر (متفق عليه)
However, if the non-Muslim parents make a will for their Muslim child, then as the Shariah will be valid and the Muslim child will be entitled to take the house on the basis of this will.
قال في الدر و من المسلم الذمي و بالعكس قال الشامي فالخلاف في جواز صلة الحربي و عدمه لا في جواز الوصية وعدمه (شامي: 5:463)
Allah (Subhana Wa Ta’ala) knows Best
Darul Ifta,
Darul Uloom Deoband