Carving a path to Gran Canaria from the Midwest requires patience and a well-planned itinerary, since no carrier offers anything close to a direct routing — but for those willing to connect, business class from Omaha to Gran Canaria delivers one of the more rewarding winter-sun escapes available to American travelers. There is no nonstop service; instead, the smartest itineraries route through Chicago or Denver to reach a European gateway, with Madrid via Iberia, London Heathrow via British Airways, or Frankfurt/Munich via Lufthansa serving as the pivot points before the final hop down to Gran Canaria's LPA. Total elapsed time typically runs well beyond the 9.5-hour transatlantic flight time itself once connections are factored in, so I always recommend building in at least a 90-minute buffer in your hub city, particularly at Heathrow where Terminal 5's connections between long-haul arrivals and short-haul European departures can require a walk.
Of the three carriers, Iberia's routing through Madrid is my personal favorite for this itinerary, since Iberia operates a solid long-haul business product with lie-flat seats and direct online connections to LPA that avoid the security re-clearance hassles you'll encounter at Heathrow. British Airways flyers connecting through Terminal 5 should seek out the Club Suite on the transatlantic sector when schedules allow — it's BA's newest hard product with a closing door and direct aisle access, though not every Chicago or Denver rotation is guaranteed to have it, so check aircraft type before booking. Lufthansa's Frankfurt and Munich connections work well for travelers who want to sample its business class cabin on the long-haul leg, then drop into a shorter intra-European hop to the Canaries.
Shoulder-season months — April, May, September, and October — consistently offer the best combination of fare value and pleasant Gran Canaria weather, avoiding both the winter peak and summer heat. Given the routing complexity here, fares fluctuate meaningfully by hub and season, so setting up automated fare alerts for this specific Omaha–Gran Canaria corridor is the smartest way to catch the periodic dips before they disappear.