Madeira's cliffside airport, with its dramatic stilted runway extension over the Atlantic, has never had a direct link to the American South—so anyone booking business class from New Orleans to Funchal is signing up for a routing puzzle, not a nonstop hop. There is no single-carrier answer here: TAP Portugal, British Airways, and Lufthansa all serve this corridor through their respective hubs, and the honest fact for planning purposes is that total journey time typically runs well beyond the nominal 7-hour flight segment once you account for a connection in Lisbon, London, or Frankfurt. My preference after years of routing through here is TAP via Lisbon—it's the only airline offering a true one-stop itinerary onto Funchal, and their A321neo business class, while regional in scope, gets you into Madeira on the carrier that knows this island best, with the most frequent daily onward flights.
For those willing to build in a longer connection, British Airways' Club Suite—with its sliding privacy door and direct aisle access—makes the transatlantic leg into London feel like a genuine splurge, though you'll then need a separate BA or TAP flight down to Funchal since British Airways doesn't operate that final segment itself. Lufthansa passengers routing through Frankfurt can expect either the older long-haul business product or, on select reconfigured 787s and A350s, the new Lufthansa Allegris seating with its varied suite tiers—worth checking your specific aircraft before booking. My insider tip: fly into Funchal on a Thursday or Friday landing, when the airport's compact single-runway operation is quieter and immigration moves fast, giving you golden-hour light over the terraced hillsides on the descent—one of the more spectacular approaches in Europe.
Seasonality matters enormously on this routing: January through March and again in October and November bring softer transatlantic business fares out of MSY and better award availability through Lisbon, since Madeira's peak tourist crush hits in summer. Given the multi-carrier complexity and the way fares shift week to week across three different alliances, setting up automated fare alerts for this specific New Orleans–Funchal pairing is the smartest way to catch a business class fare worth committing to.