Louis Armstrong International doesn't hand you a nonstop to Crete—nobody does, in truth, and after years of routing clients through this corridor, I've made peace with the connection being part of the story. There is no direct service from the Gulf South to Greece, so business class from New Orleans to Heraklion requires a transatlantic hop paired with a European or regional Greek connection, typically via Frankfurt on Lufthansa, Paris on Air France, or Athens on Aegean Airlines for the final short sector into HER. The most seamless routing I've found pairs Lufthansa's long-haul metal out of a US gateway—ideally connecting through Atlanta or another Star Alliance hub to reach Frankfurt—with Lufthansa's Allegris business class on newer configurations, though older 747-8 and A340 business seats still appear on this corridor, so it pays to check aircraft type before booking. Air France routes through Paris-Charles de Gaulle offer their own reliable long-haul business product on A350s, with a same-terminal advantage at CDG that eases the connection stress considerably.
The final leg matters more than travelers expect. Aegean Airlines, Greece's flag carrier, operates the Athens-Heraklion sector, and while it's a short regional hop with a recliner-style business cabin rather than a lie-flat product, it's a graceful, on-time way to finish an 11-hour-plus journey. My insider tip: book the Athens connection with at least 90 minutes of buffer, because ATH's domestic-to-Schengen transfer, while efficient, can bottleneck during peak summer arrivals when charter traffic from Western Europe floods the airport simultaneously with transatlantic connections.
Shoulder season—April, May, September, and October—is when this routing truly shines, both for weather in Crete and for award availability on the transatlantic legs, since summer capacity gets absorbed by leisure demand well before you're ready to book. Business class pricing on this three-airline patchwork fluctuates more than most transatlantic routes I track, so setting fare alerts across Lufthansa, Air France, and Aegean segments independently is the smartest way to catch a mispriced or newly released business award before it disappears.