I can't recall ever seeing a specific reference to it. While this is obviously a point of serious debate, an identifiable Arab nationalist movement wouldn't emerge in the Ottoman territories until the late 19th / early 20th century, in large part in response to the cultural policies of Turkification of the late Ottoman Empire, which were not present in 1856. So al-Fatat, for instance, was formed in the aftermath of the Young Turk revolution in part as a kind of cultural/linguistic advocacy society for Arabs and Arabic and would eventually become a kind of revolutionary underground, along with the more military al-Ahd (and Iraqi). That's all of course without getting into the question of Palestinian nationalism in particular, which is a post WWI and in large part anti-Zionist phenomenon.
Was there an aspect of the Tanzimat era, (and the 1856 firman in particular) that you had in mind in asking this?