Memphis doesn't offer a single nonstop path to the Canary Islands, so booking business class from Memphis to Gran Canaria means constructing a smart routing through Europe, and after years of testing these connections, I've landed on a clear conclusion: the Madrid gateway via Iberia is the most reliable option for this itinerary. Iberia flies its A330 and A350 aircraft with fully lie-flat business seats on the transatlantic segment from major U.S. hubs, connecting through Madrid-Barajas, and their onward flights to Gran Canaria's LPA airport run frequently enough to make same-day connections realistic. British Airways offers an alternative via London Heathrow, where their Club Suite—with its sliding door and direct aisle access on the 777 and A350 fleet—makes the long transatlantic leg genuinely restful, though you'll then face a separate, shorter-haul connection down to the islands, often on a narrowbody without lie-flat seating.
Lufthansa's Frankfurt or Munich connection is worth considering if your Memphis departure timing aligns better with their schedules, particularly since Lufthansa has been rolling out its new Allegris business class cabin on select long-haul routes, offering more privacy and seat variety than their older configurations—though availability on this specific product to U.S. gateways remains inconsistent, so I'd confirm aircraft type before booking. My genuine insider tip: when connecting through Madrid, build in at least two hours if you're transferring from an international arrival to the Gran Canaria departure, since Iberia's domestic-style Canary Islands flights sometimes depart from a different terminal area than the long-haul arrivals hall, and rebooking mid-itinerary during peak Canarian season (December through February) can mean waiting a full day for the next available flight.
The Canary Islands see a curious seasonal pattern where Northern Europeans flood in for winter sun, which paradoxically makes April, May, September, and October the sweet spot for both better award availability and calmer cabins on the connecting flights—shoulder season here means comfortable weather without the crowds. Because fares and premium cabin space on this multi-carrier routing shift constantly depending on which hub has excess capacity, I'd strongly recommend setting up automated fare alerts for the Memphis-Gran Canaria corridor rather than checking manually, since the best business class deals through Madrid, London, or Frankfurt tend to appear briefly before disappearing.