The most natural word to fill in the blank is mind.
So the full sentence would be: Do you mind if I open the window?
This is a common and polite way to ask for permission to open a window.
اذا كان لديك إجابة افضل او هناك خطأ في الإجابة علي سؤال Do you ___ if I open the window اترك تعليق فورآ.