Below is a video (narrated in Persia) which notes of the citation of the name of the Persian Gulf name on the walls of Rome.

خليج فارس دو هزار سال پيش در ديوار روم هم ثبت شده

The ancient Colosseum of Rome has maps of the ancient world in which the name of the Persian Gulf in mentioned. Rome’s citizens would have recognized the body of water as the Persian Gulf.