Getting to the Bay of Kotor from the Gulf Coast has never been a one-flight affair, and it shouldn't be treated as such when you're routing through the world's great hub airports. There is no nonstop option for business class from New Orleans to Tivat, so the itinerary you build matters as much as the seat you choose: the two strongest options run through Frankfurt or Munich on Lufthansa, or through Istanbul on Turkish Airlines, with Croatia Airlines occasionally slotting in for the final hop into Tivat's compact coastal airport. I've routed this trip both ways over the years, and my strong preference is Turkish Airlines via Istanbul — its business class product, complete with the airline's signature chef-prepared meal service and Istanbul Airport's dedicated business lounge (one of the most expansive in the world, with a cinema and putting green), makes the long connection feel like part of the vacation rather than an obstacle to it.
If you're flying Lufthansa, know that the airline's rollout of its new Allegris business class is uneven across the fleet — request your aircraft type when booking, since older 747-8 or A340 configurations lack the privacy doors and larger screens of the newest cabins. My insider tip: fly into Tivat rather than routing through Podgorica or Dubrovnik, even if fares look marginally higher, because Tivat's small terminal clears passport control in minutes and puts you within a 20-minute transfer of Kotor's old town or the Porto Montenegro marina — a real advantage after a long transatlantic haul. Istanbul-bound travelers should also budget extra connection time in peak summer, when TIV sees a surge of charter and seasonal traffic servicing the Adriatic coast.
Shoulder season — April, May, September, and October — is when this route rewards patience, both in weather (mild, uncrowded Montenegro) and in fare behavior, as airlines adjust capacity ahead of and after the Mediterranean summer rush. Because pricing on this itinerary fluctuates with connection routing and seasonal demand more than most transatlantic pairs, setting up fare alerts for New Orleans–Tivat business class is the smartest way to catch the periodic dips before they disappear.