[a] A member of the Roman intellectual elite, Inghirami was praised for his Latin oratory by Ludovico Ariosto, Pietro Bembo, Baldassare Castiglione, Paolo Giovio, Niccolò Machiavelli, and Angelo Colocci.

[3] In 1496, Inghirami was sent as part of a delegation from Pope Alexander VI to Maximilian I, Holy Roman Emperor, whom he met in Innsbruck on 14 March 1497.

On 16 January of the following year, he gave a much-noted eulogy in the presence of the entire papal court at a Memorial Mass for the young John, Prince of Asturias, son of King Ferdinand and Queen Isabel of Spain, held at the Church of San Giacomo degli Spagnuoli.

[3] In 1505, he eulogized his teacher, Pietro Menzi da Vicenza, with an oration that denounced the corruption of the papal court, praising by contrast both the deceased and the newly elected Pope Julius II.

Attributed to Raphael, it is a small oil painting on a panel; it depicts the accident, with Inghirami trapped under the cart's wheels.

He suffered from strabismus, the failure of the eyes to align, a condition that Raphael disguised in his portrait by focusing his gaze away from the viewer at some unseen superior or inspiration.

[10] Contemporary letters hint he was homosexual[1] or state it as fact,[8] an interpretation supported by Raphael's "School of Athens" where Inghirami is embraced from behind by a half-hidden male figure, and his unusual feminine nickname of Phaedra.