There's no nonstop way to reach Sarajevo from Central Texas, which is precisely what makes routing strategy the whole game when booking business class from Austin to Sarajevo. In practice, the smartest itineraries funnel through Atlanta or Frankfurt or Istanbul, since Delta, Lufthansa, and Turkish Airlines each hold a piece of this puzzle and none flies the route direct. Fact for the record: total journey time typically runs close to 11.5 hours of actual flying, but with a connection built in, plan on 15-18 hours door to door depending on layover length. I've flown all three carriers on this corridor, and my strong preference is Turkish Airlines via Istanbul — their business class product on widebody aircraft includes fully lie-flat seats and a dine-on-demand menu that outclasses most European carriers on short-haul European legs, and IST's business lounge is genuinely worth the connection time, with a live cooking station and even a putting green.
Lufthansa's newer Allegris business seats are appearing on select Frankfurt-bound aircraft out of the US, though Austin routings often still connect via Delta metal or older Lufthansa configurations, so it's worth checking your specific aircraft before assuming you'll land the newest suite. Delta's advantage is operational reliability out of AUS, with their own metal to Atlanta and then a joint-venture partner for the transatlantic leg — Delta One suites with sliding doors on select aircraft are a strong option if your connection routes through JFK or a European gateway. My insider tip: build in a minimum three-hour connection in Istanbul or Frankfurt during winter months, since Balkan-bound regional flights are notoriously prone to weather delays into SJJ, a small airport with limited backup routing.
January through March and October into November consistently produce the softest fares on this corridor, as leisure demand toward Sarajevo dips outside summer diaspora travel season. Given the fluctuation across three different alliances and routings, this is a route where setting up automated fare alerts pays off — prices shift quickly, and catching a mispriced business fare via Istanbul or Frankfurt can make all the difference.