There's no nonstop route to that sun-bleached corner of the Ionian, which is precisely why the routing decision matters more than the fare itself. Business class from Nashville to Zakynthos requires at least one, often two, connections, and the most reliable path pairs BNA's transatlantic gateways with a European hub before dropping into ZTH's compact seasonal airport. British Airways offers Club Suite—their fully enclosed pod with direct aisle access—on widebody aircraft out of London, making a Nashville-to-London-to-Athens-or-direct-charter-adjacent connection one of the more comfortable options for the long haul portion. Lufthansa, now rolling out Allegris on select routes, connects through Frankfurt or Munich, while Aegean (A3), Greece's flag carrier, typically handles the final short hop into Zakynthos from Athens with a business cabin that's more regional-comfortable than long-haul luxurious.
Having routed through all three hub cities repeatedly, my strong preference is Frankfurt or Munich when Lufthansa's Allegris suites are in rotation on the transatlantic leg—the privacy panels and adjustable lighting make a real difference after eleven-plus hours in the air. London Heathrow's Terminal 5 is the smoothest connection point if flying British Airways, with enough lounge capacity to reset before continuing east. The insider move locals rarely share: book the Aegean connection into Athens with enough buffer to clear passport control and catch one of the frequent short ATH-ZTH hops rather than risking a tight same-day itinerary, since Zakynthos's airport handles limited daily arrivals and delays cascade quickly during peak summer months.
Seasonality here is unusually pronounced—Zakynthos is a summer-driven leisure destination, so business class award space and premium fares loosen considerably in April, May, September, and October, both because leisure demand drops and airlines rebalance capacity heading into shoulder season. I've watched Frankfurt and London connections swing wildly in premium cabin pricing week to week during these windows, which is exactly why setting up automated fare alerts for this specific corridor—rather than checking manually—tends to reward the patient traveler with the best combination of product and value.