There is no nonstop path linking New Mexico to Campania, and after dozens of itineraries through this corridor, I can tell you the routing you choose matters more than almost any other decision you'll make booking business class from Albuquerque to Naples. The factual baseline: there's no direct service, so every itinerary funnels through a European hub before a final hop to Naples International, with total journey time running well beyond the ~11.5-hour air time once you factor connections. Lufthansa via Frankfurt or Munich is my default recommendation, particularly if you can secure a seat in the Allegris business cabin on the transatlantic leg — its direct-aisle-access suites on select 787 and A350 configurations are a genuine upgrade over the airline's older long-haul product, though not every Frankfurt departure has been retrofitted yet, so it's worth checking aircraft type before booking. Air France through Paris CDG is my second choice, especially for its efficient Terminal 2E connections and consistently smooth transfer process if you're routing onward to Naples on an Air France/KLM regional partner flight.
Alitalia's successor entity, ITA Airways, also deserves consideration if you're comfortable connecting through Rome Fiumicino, since it offers same-alliance convenience for the short final hop to Naples and can sometimes be paired creatively with a Lufthansa or Air France transatlantic segment for better positioning. My insider tip: build in a two-to-three hour buffer at Frankfurt or Fiumicino during winter months, since Naples' airport, being smaller, sees flight frequency thin out and misconnections there are more costly in lost time than at bigger Italian gateways. Albuquerque's Sunport is refreshingly low-stress for the outbound leg, so use that ease to your advantage by arriving early and settling into the lounge before a long day of flying.
April, May, September, and October consistently offer the best combination of moderate Naples weather and softer fares, avoiding both the August crush of European travelers and the shoulder-season fare spikes tied to the Amalfi Coast's peak season. Given the volatility in transatlantic business fares on this three-airline corridor, setting up automated fare alerts is the smartest way to catch the pricing windows before they close.
