Ibiza's white-sand glamour has never been easy to reach from the Gulf South, and that's precisely what makes routing this journey well worth the planning. There is no nonstop option, so business class from New Orleans to Ibiza requires a transatlantic connection, typically through Madrid on Iberia, London Heathrow on British Airways, or Frankfurt/Munich on Lufthansa, before a short intra-European hop down to the island's compact airport. Iberia's A330 business class, with its direct-aisle-access lie-flat seats, is my preferred long-haul segment for this itinerary, since Madrid also gives you a relatively painless connection through Barajas's Terminal 4S, a hub built for smooth transfers rather than the sprawl you'll encounter at Heathrow.
If your MSY schedule pushes you toward London instead, British Airways' Club Suite—now rolled out on many of their long-haul aircraft—offers a genuine door and privacy screen that's worth seeking out over their older Club World cabins; just be prepared for a Terminal 5 to Terminal 3 or 5 connection depending on your onward carrier. Lufthansa routes through Frankfurt or Munich work well too, especially if you can catch one of their Allegris-configured aircraft, though availability on this specific pairing is still limited as the rollout continues. My insider tip: book the intra-European leg to Ibiza as a separate short-haul business fare when award or premium inventory on the connecting flight is scarce—Iberia and BA both operate seasonal narrow-body business service into IBZ during the summer push, and mixing tickets can unlock space that a single itinerary search won't show.
Shoulder-season travel in April, May, September, and October rewards patient travelers with the best combination of fare value and lighter island crowds, since Ibiza's peak summer season inflates both hotel rates and airfare demand across all three carriers. Given how fragmented this routing is and how quickly premium cabin space disappears once Ibiza's season ramps up, setting fare alerts for the New Orleans to Ibiza business class routing is the smartest way to catch a fare dip before it vanishes.