In fact, the government arbitrarily can veto any candidate for the position of Ecumenical Patriarch. 

With the dwindling population of Hierarchs and Orthodox Christians in Turkey, we may not be able to elect an Ecumenical Patriarch in the not too distant future. This is tantamount to the asphyxiation of the leadership of the Holy Mother Church and a clear illustration of the direct intervention of the Turkish government in ecclesiastical matters.