There's no nonstop way to escape the high desert for the Canary Islands, which is precisely what makes routing strategy the whole game when booking business class from Albuquerque to Gran Canaria. The honest answer for anyone searching this pairing: expect two connections, roughly 10 hours of total flight time excluding layovers, and a choice of three credible carriers—Iberia, British Airways, and Lufthansa—each funneling you through a European gateway before the short hop down to Gran Canaria's LPA airport. Iberia via Madrid is my preferred routing, since Iberia operates its A330 business class with fully flat seats on the transatlantic leg, and Madrid-Barajas offers a relatively painless connection with a dedicated business lounge before the LPA sector, which is typically flown on a narrowbody with recliner-style business seating.
British Airways routes through London Heathrow, and if you can secure the right connection, their Club Suite—with its sliding door and direct aisle access—is a genuine upgrade over older BA business cabins still flying some transatlantic routes; just confirm the aircraft type before booking, since not every ABQ-adjacent connection guarantees Club Suite equipment. Lufthansa's Frankfurt or Munich routing is worth considering for its punctuality and efficient hub operations, though their business hard product varies significantly depending on whether you land an Allegris-equipped aircraft or an older configuration—Allegris remains a phased rollout, so don't assume you'll get it. My insider tip: build in a minimum three-hour connection window in Madrid or Frankfurt during winter months, when Canary-bound flights from mainland Europe often shift gates late, and seasoned travelers know the LPA approach can get bumpy with Atlantic crosswinds, so an aisle seat near the front pays off for a smoother deplaning experience.
April, May, September, and October consistently offer the best value and calmer connecting weather, avoiding both summer's peak fares and winter's holiday crowds heading to the Canaries for sun. Given how these three-carrier itineraries fluctuate week to week depending on fuel surcharges and seasonal demand, setting up fare alerts is the smartest way to catch a premium-cabin deal on this route before it disappears.