Zakynthos remains one of the last great under-the-radar Greek islands for premium travelers, and getting there in comfort from Louisiana requires strategy rather than luck. There is no nonstop option, so business class from New Orleans to Zakynthos always routes through a European or hub airport, with the two most reliable itineraries running via Frankfurt on Lufthansa or via London Heathrow on British Airways, each connecting onward to Athens before a short Aegean Airways hop to ZTH. Total journey time hovers around 10.5 hours of flying, but realistically you should budget a full travel day given the connections. Lufthansa's long-haul segment from the US typically features their Business Class flat-bed product (with the newer Allegris cabin gradually rolling out on select aircraft), while British Airways passengers connecting through Heathrow can look forward to the Club Suite with its direct-aisle access and sliding door — a meaningful upgrade over BA's older Club World cabins.
Having routed through both Frankfurt and Heathrow numerous times en route to the Ionian islands, I'd steer travelers toward the BA/Heathrow connection when schedules allow, simply because Heathrow's T5 makes transatlantic-to-European connections smoother than Frankfurt's occasionally congested pier layout, especially during peak summer months. The real insider move, though, is booking the final Athens–Zakynthos leg as a separate protected connection with enough buffer time; Aegean's ZTH service is seasonal and weather-dependent, and Athens' domestic terminal requires a walk that catches first-timers off guard. April, May, September, and October are the sweet spot for this routing — not just for fares, but because Zakynthos itself is calmer, greener, and free of the July-August crowds that overwhelm Navagio Beach.
Award space and premium fares on this corridor fluctuate more than most transatlantic-to-Europe routes, largely because Lufthansa and British Airways both reprice aggressively around shoulder-season demand shifts. Given how thin the New Orleans to Zakynthos business class inventory can run on the connecting legs, setting up fare alerts to track pricing swings across both routings is the smartest way to lock in value before availability tightens.