The two-meter-high Aphrodite is depicted sitting on a dolphin alongside the god Eros.
The Greek police's Organized Crime Unit opened a preliminary investigation into how the statue came to be dumped.
Walt Disney's ABC will broadcast the event, and comedian Conan O'Brien will host.
Experts clarify the object is a shadow box used in funerary practices.
"For our profession, these are extraordinary finds," said Professor Aybek, head of the excavation at the ancient city.
Hancock argues that Polynesian settlers encountered a pre-existing population, evidenced by banana remains from at least 3,000 years ago.
"Based on its location, we believe this figure was likely the highest-ranking military commander of this unit."
The statue resembles the type known as the Ludovisi Hermes, which typically portrays a youthful, beardless Hermes with a thoughtful, almost sorrowful expression.
Jack Baxter, a private security guard, heroically saved a priceless Cycladic artifact from falling at the Merrin Gallery in 1988.
Monumental sculpture to be erected in the Old City’s Christian Quarter.