Krakow rewards the patient traveler, and after a dozen crossings on this route, I can tell you the routing matters more than the airline logo on the tail. There is no nonstop option: business class from Los Angeles to Krakow always involves a connection, typically through Chicago or New York on American or United, or via Warsaw on LOT Polish Airlines for a more European-flavored journey. American routes through its Chicago O'Hare hub with a widebody hop across the Atlantic before a regional connection into Krakow, while United favors Newark or Chicago with Star Alliance partner LOT often finishing the job into KRK. My preferred build is LAX–ORD on American's 787 in business class, then a transatlantic segment in their Flagship Business seats, followed by a short regional leg — the lie-flat comfort on the long haul matters far more than the final short hop.
LOT Polish Airlines deserves more attention than it gets from American flyers. Its Business Class on the 787 Dreamliner, flown on the Chicago–Warsaw and New York–Warsaw routes, offers a genuinely comfortable lie-flat product with Polish hospitality that sets the tone before you even land in Krakow — arriving into Warsaw Chopin rather than Modlin is the connection you want, as it keeps transfer times realistic and avoids the budget-terminal shuffle. My insider tip: build your itinerary with at least a two-hour buffer in Warsaw during winter months, since de-icing delays are common between December and February and LOT's Krakow connections run on regional aircraft with tighter gate turnarounds than you'd expect from a hub this size.
Seasonality plays heavily in your favor if you're flexible. January, February, March, October, and November consistently offer the softest business class fares on this corridor, as Krakow's tourist crush (driven by Auschwitz-Birkenau visits and the Christmas markets) bookends the shoulder seasons rather than filling them. Award space on United-LOT partner routings also opens up more readily in these windows. Given how much these fares swing week to week depending on which carrier is discounting its Atlantic capacity, setting up automated fare alerts is the smartest move you can make before booking this particular route.
