Zagreb rarely tops the list of business class bucket-list arrivals from the American South, which is precisely why seasoned travelers should pay attention: there is no nonstop option from Birmingham, so business class from Birmingham to Zagreb inevitably routes through a major European or transatlantic hub, and the connection you choose matters more than the marketing copy suggests. Delta passengers typically route via Atlanta or JFK before joining a Delta One transatlantic hop to a European gateway, then connect onward to Zagreb on a regional partner. Lufthansa offers perhaps the most coherent one-stop routing, funneling Birmingham traffic through Frankfurt or Munich, where their long-haul business class cabin—increasingly the new Allegris seat on select aircraft, though still legacy business on many frames—precedes a short intra-European hop operated in a standard Euro-business configuration, meaning the real luxury happens on the long-haul leg, not the connector. Croatia Airlines (OU), the flag carrier, typically handles the final short sector into Zagreb and doesn't operate widebody long-haul metal, so don't expect a lie-flat product on that segment; it's a regional jet with a blocked middle seat at best.
My own routing preference after several attempts on this exact itinerary is Frankfurt over Munich when connecting with Lufthansa, simply because FRA's Star Alliance business lounges offer stronger shower facilities and a calmer environment for the layover, which matters when you've just come off an eight-hour transatlantic redeye. An insider tip few frequent flyers mention: booking the Delta-partner routing through Amsterdam or Paris rather than a Lufthansa hub can sometimes shave an hour off total connection time because Croatia Airlines' schedule aligns better with morning arrivals from those cities than from Frankfurt.
Zagreb sees its best award and revenue business fares surface in January, February, March, October, and November, when leisure demand dips and Star Alliance inventory loosens on the Frankfurt-Zagreb short hop. Given how thin premium cabin availability can be on this niche routing, setting up automated fare and award alerts is the smartest way to catch these seasonal windows before they close.