His father, Marcello Virgilio Adriani (died 27 November 1521), was a professor of literature, and served as the chancellor of the Republic.
He was among the defenders of the city during the siege of 1530, but subsequently joined the Medici party and was appointed professor of rhetoric at the university.
[4] At the instance of Cosimo I he wrote in Italian a contemporary history, spanning from 1536 to 1574, which is generally considered a continuation of Guicciardini chronicles, although the historian Brunet finds this notion erroneous.
[4] Adriani also composed funeral orations in Latin on the emperor Charles V and other noble personages, and was the author of a long letter on ancient painters and sculptors prefixed to the first volume of Vasari.
[5] Giovanni Battista's son, named Marcello, born 1533 became a professor of rhetoric at the Accademia Fiorentina.