There's a particular satisfaction in landing on Tenerife's volcanic coastline after a lie-flat crossing, and the truth is that booking business class from Miami to Tenerife almost always means routing through a major European gateway, since no carrier flies this pairing nonstop. Iberia's connection via Madrid is the most sensible choice for most travelers, with the airline's A330 business class offering direct-aisle-access pods on select aircraft and a smooth same-terminal transfer at Barajas onto the short Iberia hop down to Tenerife South. British Airways routes through London Heathrow, where Club Suite—with its sliding door and forward-facing bed—makes the transatlantic leg from Miami genuinely restful, though the Heathrow-to-Tenerife onward segment typically reverts to a Euro-business hard product, so the real luxury investment is on the long haul. Lufthansa's option via Frankfurt works well for those who want to sample its refreshed business class cabins on the MIA-FRA sector, with the caveat that Frankfurt's connection times to Canary Islands flights can be tight during peak summer congestion.
My own preference after flying this corridor repeatedly is Madrid as the connecting hub, simply because Iberia's T4 satellite building is one of the more relaxed international terminals in Europe, and the walk-through immigration process for onward Schengen flights to Tenerife is refreshingly quick compared to the queues at Heathrow or Frankfurt. An insider tip worth noting: Tenerife South's arrivals hall is small and can bottleneck fast when three or four European flights land within the same half-hour window, so if your itinerary gives you a choice of Iberia connection times, choose the earlier one to beat the rental car and taxi crush.
Shoulder season—April, May, September, and October—consistently offers the best combination of fare value and pleasant Canary Islands weather, avoiding both the winter high season crush of northern European snowbirds and the peak summer heat. Because award and discounted business fares on this MIA-TFS corridor via Madrid, London, or Frankfurt fluctuate significantly with these seasonal shifts, setting up automated fare alerts is the smartest way to catch a premium seat at real value before it disappears.