Pery was nominated Bishop of Killala and Achonry on 7 January 1781 and consecrated on 18 February that year.
He was created Baron Glentworth, of Mallow in the Peerage of Ireland, in 1790 and died on 4 July 1794.
[4] Pery firstly married Jane Walcott, daughter of John Minchin Walcott, and following her death, married secondly Dorothea Lewis, daughter of William Lewis, Archdeacon of Kilfenora.
He was succeeded in his title by his son, Edmund Pery, who was later made Earl of Limerick.
Eleanor Pery, married Sir Vere Hunt, 1st Baronet.