Zubranić was born in Baška on the isle of Krk, at the time part of the Napoleon's Kingdom of Italy.
From 1824 he served as a lecturer at the Biblical Theological Study in Zadar, until 1836 when he was appointed a canon.
[1] On 14 December 1853, Zubarić was nominated for the position of bishop of Kotor and was confirmed by Rome on 7 April 1854.
[3][4] The next year he was appointed apostolic administrator of the neighbouring Diocese of Trebinje-Mrkan in the Ottoman Empire.
He also opposed the proposal of the apostolic visitor, the Jesuit V. Basileo, that the Diocese of Trebinje-Mrkan should have its own ordinary.