Pula's diminutive airport, a summer-only gateway to Istria's yacht harbors and truffle-scented hills, makes for an incongruous endpoint to a long-haul business class itinerary out of the Mid-South — but that's precisely what makes this route so rewarding for those willing to route through Europe's major hubs. There is no nonstop option here: business class from Memphis to Pula requires at minimum one and typically two connections, most efficiently routed via Frankfurt or Munich on Lufthansa, via Istanbul on Turkish Airlines, or via Zagreb on Croatia Airlines for the final short hop. Total journey time hovers around 11.5 hours of flying, though with connections the door-to-door experience often stretches past 15 hours, so I always favor Lufthansa's Frankfurt hub for this itinerary given its efficient business class transfer processes and the strong likelihood of flying Lufthansa's long-haul cabin — increasingly Allegris-equipped on select 787 and A350 routes — across the Atlantic.
Turkish Airlines via Istanbul deserves serious consideration too, particularly for travelers who want to break up the journey with a stopover; Turkish's Istanbul Airport lounge remains one of the most lavish in business class travel, complete with a putting green and cinema room, and it makes the long connection feel like a bonus rather than a burden. My insider tip: since Pula's airport handles limited widebody infrastructure and Croatia Airlines' final-leg aircraft are compact Airbus A319s in an all-economy configuration on that short sector, don't expect a business class product on the last hop — book your long-haul carrier's business class for the transatlantic and transcontinental legs, and treat the Zagreb-to-Pula or Munich-to-Pula segment as a short, forgivable downgrade.
April, May, September, and October are the sweet spot for this routing, both for fares and for Istria's shoulder-season weather, avoiding the July-August crowds that clog the coastal roads. Given the multiple carrier and routing permutations involved, fares on this Memphis-to-Pula corridor fluctuate significantly by connection choice, so setting up automated fare alerts is the smartest way to catch a premium-cabin opportunity before it disappears.