Zakynthos remains one of the Ionian's most rewarding puzzles for premium travelers, precisely because no carrier offers anything resembling a direct routing from the Triangle. The honest answer for anyone researching business class from Raleigh to Zakynthos is that you're building a two-stop itinerary through a major European hub, with total journey time (including connections) typically running well beyond the roughly 10.5 hours of actual flight time. My preferred build has long been RDU–Frankfurt–Athens–Zakynthos on Lufthansa, or RDU–London Heathrow–Athens on British Airways, connecting onward to ZTH via Aegean Airlines' regional jets, since Aegean handles the final Athens-to-Zakynthos hop almost exclusively and does it well.
Lufthansa's long-haul cabin out of RDU (via a connection, since RDU-Frankfurt isn't always nonstop seasonally) increasingly features the Allegris business suite on refitted aircraft, though you'll want to check aircraft type before booking, as older 747 and A340 configurations still fly some Frankfurt rotations. British Airways routes you through Heathrow's Terminal 5, where their Club Suite—with its sliding door and direct aisle access—makes the long transatlantic leg genuinely restful before the short Athens connection. Once in Athens, Aegean's business class on the ATH-ZTH sector is a modest but comfortable domestic product, so don't expect lie-flat seating on that final short hop; it's simply a pleasant, quick way to finish the journey island-side. My insider tip: build in at least a two-hour buffer in Athens, since Aegean's ZTH gate assignments often shift late and the walk from international arrivals can eat your connection time.
April, May, September, and October are the sweet spots—shoulder season keeps Zakynthos gorgeous while easing demand on the Athens connection, and premium award space through Frankfurt or Heathrow tends to open more generously then. Given how much these European hub connections fluctuate with seasonal capacity, setting up fare alerts for this specific RDU-ZTH corridor is the smartest move before committing to dates.