There's no shortcut to Sarajevo from the desert Southwest, and that's precisely what makes routing strategy the entire game here. Business class from Phoenix to Sarajevo always involves at least one connection, since no carrier offers anything close to nonstop service across two continents and the Balkans in a single hop — the honest total transit time, gate to gate, typically runs 16 to 20 hours depending on your layover. The three real options are Delta running you through Amsterdam or Paris before a partner handoff, Turkish Airlines funneling everything through Istanbul, and Lufthansa connecting via Frankfurt or Munich. Of these, Turkish Airlines is the one seasoned Balkan travelers gravitate toward, because Istanbul Airport sits closest geographically and culturally to Sarajevo, and Turkish's widebody business cabins — lie-flat seats with proper storage and their well-regarded catering — make the long PHX-to-IST leg genuinely restful.
If schedule flexibility allows, Lufthansa is worth serious consideration for travelers who can snag one of their newer Allegris-configured aircraft on the transatlantic leg, since the added privacy and suite-style doors on select routes elevate an otherwise standard European carrier experience. Frankfurt also offers more forgiving connection times and clearer signage for business class transfers than Istanbul's sprawling terminal, which matters if you're arriving jet-lagged and need a lounge shower before the final short hop into Sarajevo. Delta's routing through Amsterdam, often in partnership with KLM or Air France metal, is the most reliable choice if you're loyal to SkyTeam, though it usually means a longer overall itinerary than the Turkish option. My insider tip: build in a deliberate six-to-eight-hour layover in Istanbul rather than a tight connection — Turkish's business lounge there is worth the time, and it dramatically reduces missed-connection risk on the notoriously short Sarajevo rotation.
Deal-wise, January, February, March, October, and November consistently produce the softest fares on this corridor, as Balkan leisure demand collapses outside summer. Given how thin scheduling is on this route, setting up automated fare alerts is genuinely the smartest way to catch a business class fare drop before it disappears.