Amir Khusrau, the correct answer, was a noted poet, scholar and musician of his era, said to have served under seven different Turkish Sultans in Delhi. He is well-known for his historical accounts, literary work, and innovation in Indian music.

Option 1, Ziauddin Barani, was a historian and political thinker who lived during the reign of the Tughlaqs but did not witness the reigns of eight Delhi Sultans.

Option 2, Shams-i-Siraj Afif was a historical chronicler from the time of the Tughlaq dynasty. He provided important insights on the era`s socio-political and cultural details, but did not witness the reigns of eight Delhi Sultans.

Option 3, Minhaj-us-Siraj, was a Persian historian who detailed the history of the Islamic world in his work "Tabakat-i-Nasiri". But again, he did not witness the reigns of eight Delhi Sultans.

Each of these historical figures provided important contributions to our understanding of the Delhi Sultanate, but only Amir Khusrau fits the criteria specified in the question.