Split's compact stone-lined harbor feels a world away from SFO's fog, and after a dozen crossings on this itinerary, I can tell you the sweet spot is routing through a major European gateway rather than chasing a nonstop that doesn't exist. There is no direct service linking these two cities, so business class from San Francisco to Split invariably means a connection — most reliably through Frankfurt, Munich, or London, with United's Polaris cabin on the transatlantic long-haul leg being the most consistent premium product Americans will encounter, since Croatia Airlines (OU) operates only regional intra-European aircraft without true lie-flat business seating. American Airlines codeshares can route you via London or Frankfurt as well, often putting you on a partner metal for the transatlantic segment. Flight time hovers around 13 hours in the air, but budget closer to 16-18 total with a sensible connection, and always target a layover of at least 90 minutes if you're transferring within Star Alliance in Frankfurt or Munich, where immigration lines for non-EU passport holders can eat into short connections.
The insider move here is booking your final Split segment on OU or a partner separately if award space is scarce on the long-haul cabin you want — Croatia Airlines' short regional hop rarely sells out, so securing Polaris or a European business seat on the transatlantic leg first, then layering on the Split connector, often unlocks availability that a single through-search misses entirely. Split's own airport swells dramatically each summer with charter and leisure traffic, so arriving via Zagreb or Dubrovnik as an alternate gateway during July and August congestion is worth considering if Split connections look tight.
For value, April, May, September, and October consistently outperform summer, both in fare levels and in the Dalmatian coast's shoulder-season charm — warm enough for the Riva promenade, quiet enough to actually enjoy Diocletian's Palace. Because pricing on this composite routing shifts with partner award space and seasonal demand, setting up fare alerts to track business class movement on the San Francisco–Split corridor will save you both money and guesswork.