The broker, Moran Ship & Yacht, would not disclose the new owner or sale price, but the yacht was previously available for charter for $1.29 million per week.
The Quatroelle, built last year by Lurssen, has five spacious decks and a number of outdoor social areas perfect for soaking up the sun.
The streamlined exterior and lavish interior were both designed by Nuvolari Lenard and can accommodate up to 12 guests in six spacious suites, with space for a crew of 29.
Additional reporting by Liz O'Connor.