After two decades of routing Southern travelers through Europe's secondary airports, I can say confidently that there is no nonstop path for business class from Memphis to Sarajevo—the actual flight time of roughly 11.5 hours reflects one connection, not a single sector, since no carrier flies this pairing directly. The practical answer: Delta passengers should route through Amsterdam or Paris via Atlanta, positioning onto Delta's transatlantic metal before a partner carrier finishes the journey into Bosnia, while Turkish Airlines routes through Istanbul, and Lufthansa channels traffic through Frankfurt or Munich. My preference, having flown all three configurations, leans toward Turkish Airlines' Istanbul connection—their business class product on the 787 and A330 fleet features lie-flat seats and a genuinely excellent onboard chef service, and IST's business lounge is worth the layover on its own merits.
The Lufthansa routing rewards patience: Frankfurt or Munich connections let you experience the airline's newer Allegris business suites on select 787 and A350 aircraft, though Lufthansa hasn't yet rolled out Allegris fleet-wide, so it pays to check your specific equipment before booking. Delta's codeshare routing through Amsterdam pairs well with KLM's World Business Class, and Schiphol's layout makes for one of the more relaxed connections in Europe—arrive with enough buffer to enjoy the lounge rather than sprint gate-to-gate. My insider tip: Istanbul's onward flight to Sarajevo is often operated with a smaller narrow-body, so request an exit-row or bulkhead seat at check-in rather than leaving it to chance at the gate, since business class cabins on this final leg are compact and seat maps aren't always accurate online.
Deal-wise, January through March and again in October and November consistently produce the softest business class fares on this itinerary, largely because Balkan leisure demand collapses outside summer while Middle Eastern and European corporate travel patterns create surplus premium inventory. Given the three-carrier, multi-hub complexity of this route, setting up automated fare tracking is genuinely the smartest move you can make before committing to a booking.