Cyprus rarely enters the conversation when American travelers plan their European splurge, which is precisely why the route rewards those who bother to research it properly. There is no nonstop option: business class from Los Angeles to Larnaca always routes through a major European hub, with Frankfurt via Lufthansa and Paris via Air France the two most efficient connections, while Cyprus Airways itself operates regional links from Athens and other Mediterranean gateways rather than long-haul from the US. Total journey time typically runs close to 17-18 hours door-to-door once you factor in the connection, versus the ~14-hour flying time across the two segments combined. Lufthansa's transatlantic legs out of LAX are increasingly operated with the airline's newer Allegris business seats on select aircraft, though older 747-8 and A340 configurations still appear on this corridor, so it's worth checking your specific aircraft type before booking. Air France routes through Charles de Gaulle, where its A350 and 777 business cabins offer a reliably comfortable long-haul product, and CDG's Terminal 2E makes for a relatively smooth connection onward to Larnaca on an Air France or partner regional jet.
My preference, after flying this itinerary numerous times, is the Frankfurt connection over Paris when schedules allow — FRA's transfer process between long-haul arrivals and short-haul gates is faster and less congested than CDG's, particularly during the midday banks when European short-haul traffic peaks. If you're transiting Frankfurt, request a lounge pass for the Lufthansa Business Lounge in Terminal 1 rather than settling for the first lounge you see near your arrival gate; the further-out lounges are consistently quieter.
April, May, September, and October are the sweet spot for this route — shoulder-season pricing on the transatlantic legs combines with pleasant Cypriot weather before or after the summer crowds. Given the routing complexity and fare volatility across three carriers and two alliances, setting up automated fare tracking for this specific city pair is the smartest way to catch a business class fare worth committing to.