The Appointments Committee of the Cabinet cleared his posting on Tuesday evening.
Mr Subramanyam is an IAS Officer of 1987 batch.
He has served as former Prime Minister Manmohan Singh's personal secretary from 2002 to 2007.
Governor's Rule was imposed in the state on Wednesday with President Ram Nath Kovind approving the measure after the Bharatiya Janata Party (BJP) pulled out of the People's Democratic Party (PDP)-led state government which was immediately followed by the resignation of Chief Minister Mehbooba Mufti.
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