There is no nonstop path linking the Twin Cities to Cyprus, which means every itinerary for business class from Minneapolis to Larnaca routes through a European hub — and that connection choice matters more than most travelers realize. Lufthansa via Frankfurt or Munich remains the most reliable option, with MSP's Delta-operated transatlantic segment feeding into Lufthansa's long-haul metal; on the newer routes you may find the Allegris business suite with its sliding door, though older 747-8 and A340 configurations with the traditional lie-flat seat still appear on this pairing depending on aircraft rotation. Air France, connecting through Paris CDG, offers its own lie-flat business product and the advantage of a single-alliance itinerary if you're crediting SkyTeam miles through Delta. Cyprus Airways itself doesn't operate widebody service into MSP, but its regional narrowbody business class becomes the final leg from Athens or Larnaca-adjacent gateways for those routing through Star Alliance partners.
Having flown this corridor more times than I can count, my strongest recommendation is to build in a deliberate 3-4 hour layover in Frankfurt or Paris rather than the minimum connection — both hubs have strong lounge networks (Lufthansa's Senator lounges in Frankfurt are worth the extra time), and Cyprus-bound flights from either city tend to depart from satellite terminals requiring more transit time than posted. An insider tip few mention: Munich's Lufthansa connections to Larnaca often see lighter loads and better upgrade availability than Frankfurt's, since most Cyprus traffic funnels through Frankfurt by default.
Shoulder season — April, May, September, and October — consistently delivers the best combination of fare value and pleasant Mediterranean weather on arrival, avoiding both the deep winter lull in Lufthansa's schedule and the peak summer crowds heading to Cyprus's beaches. Given how erratic award and premium cash fares can be on this multi-carrier routing, setting up fare alerts to track pricing fluctuations across Lufthansa, Air France, and their connecting partners is the smartest way to catch a strong deal before it disappears.