Answered by Sayyidi Habib Umar bin Hafiz (may Allah protect him and benefit us by him)
What intentions should we make when visiting Sayyiduna Abu Ayyub al-Ansari in Istanbul?
Firstly we should intend making the Prophet ﷺ happy. We should ask that just as the Prophet physically resided in the house of Abu Ayyub that the light and guidance of the Prophet reside in our hearts and then our hearts resemble that house. We should congratulate Abu Ayyub on the gifts bestowed upon him by Allah: that the Prophet stayed in his house, that he was given the ability to follow the Prophet and sacrifice everything in the path of Allah. We should thank Allah along with him for this.