Splitting a Dalmatian getaway from a Great Lakes departure sounds implausible until you've actually routed through Newark, Chicago, or Philadelphia and landed on the Adriatic coast a full transatlantic flight later. There is no nonstop option, so business class from Cleveland to Split necessarily runs through one of the big three US carriers' European gateways before a connecting hop into Croatia—typically via Zagreb, Frankfurt, or Munich on a partner carrier for the final short leg. United routes most naturally through Newark, where its Polaris business class on widebody aircraft delivers direct-aisle-access pods for the long Atlantic crossing before a same-alliance connection onward. Delta favors Amsterdam or Paris via its own transatlantic metal, putting you in Delta One suites with sliding doors on the 767 or A330 fleet, while American funnels traffic through Philadelphia or Chicago into London or Madrid, where its Flagship Business seats on 777 and 787 aircraft offer solid lie-flat comfort, though its European partner connections into Split can be less generous on legroom for that last segment.
Having flown this exact patchwork more than once, my strongest insider tip is to build in a deliberately long layover—four to six hours—at whichever European hub you choose, rather than a tight connection, because Croatia-bound flights from Frankfurt, Munich, or Zagreb often depart from remote gates requiring bus transfers, and misconnections here are common in peak summer months. That extra buffer also gives you access to a proper lounge shower and meal before the final narrowbody leg, which typically lacks lie-flat seating.
Shoulder season—April, May, September, and October—consistently offers the best combination of fare value and pleasant Adriatic weather, avoiding the July-August crush when Split's small airport becomes overwhelmed with charter and low-cost traffic. Because award and premium cash fares on this itinerary fluctuate with hub routing and seasonal demand, setting up automated fare alerts is the smartest way to catch a Cleveland-to-Split business class deal before it disappears.