|See||Titular Bishop of Patras|
|Appointed||29 May 1628|
|Term ended||25 September 1651|
|Other posts||Apostolic Nuncio to Switzerland, Nuncio to Holy Roman Empire|
|Consecration||2 July 1628 (Bishop)
by Giulio Cesare Sacchetti
|Created Cardinal||18 May 1630|
August 8, 1582|
|Died||September 25, 1651
|Buried||Santa Maria in Monserrato, Roma|
In 1628 he was appointed Latin Archbishop of Patras, consecrated bishop on 2 July 1628 by Cardinal Giulio Cesare Sacchetti and sent to Switzerland by Pope Urban VIII as an apostolic Apostolic Nuncio. In 1629 he returned to Rome and was elevated to cardinal in pectore. That same year, Rocci came into possession of one part of the Villa Muti which had been divided upon the death of his uncle (on his mother's side) Cardinal Pompeo Arrigoni.
His elevation to cardinal was not revealed until 1633, prior to which he was appointed as nuncio to Holy Roman Empire. After revelation of his cardinalate, he returned to Rome and was appointed Cardinal-Priest of San Salvatore in Lauro.
He served as Cardinal Legate (the governor of the province) of Ferrara between 1637 and 1640. He participated in the Papal conclave of 1644 which elected Pope Innocent X and between 1646 and 1647 he was appointed Camerlengo of the Sacred College of Cardinals.
Rocci died in Rome on 25 September 1651.