There is no nonstop option for business class from New Orleans to Split, and after two decades of routing myself through nearly every plausible combination of hubs, I've come to accept that the smartest itineraries funnel through Atlanta or JFK on Delta, Charlotte or Philadelphia on American, or Newark on United, before a second transatlantic leg into a major European gateway like Amsterdam, Paris, or Munich, followed by a short connector down to Split. Delta's Delta One suite, with its sliding door and consistent A330/A350 configuration out of Atlanta and JFK, is my preferred long-haul product on this routing, offering genuine privacy for the eight-hour Atlantic crossing before the shorter regional hop. American's Flagship Suite on select 777 and 787 aircraft out of Philadelphia is a strong alternative, particularly if your connection routes through London or Dublin, where American's oneworld partners can smooth the onward journey into Croatia.
The real craft of this trip lies in the final segment — Split's airport is compact and seasonal, meaning summer charter congestion can make afternoon arrivals chaotic, so I always aim for a morning or early-evening landing when the terminal is calm and taxi queues are manageable. My insider tip: build in a six-to-eight hour layover in Amsterdam or Munich rather than a tight two-hour connection, because both hubs have day-use lounge access and reliable business-class rebooking desks if the Split leg — often on a smaller regional partner aircraft — gets delayed by Adriatic coastal weather, which happens more than travelers expect in shoulder season.
April, May, September, and October remain the sweet spot, not just for fares but for Split itself, when the Dalmatian coast empties of cruise crowds and business-class award space on Delta and American opens up meaningfully. Given how fragmented pricing is across three carriers and multiple European gateways, setting up dedicated fare alerts for this specific New Orleans–Split pairing is the only reliable way to catch the periodic drops before they disappear.