Wroclaw remains one of Central Europe's most awkward premium-cabin puzzles for Midwestern flyers, and after routing through this corridor more times than I can count, I can say definitively: there is no nonstop option, and business class from Indianapolis to Wroclaw always involves at least one connection, typically through Amsterdam, Munich, or Warsaw. Delta's transatlantic metal, paired with its joint-venture partners, gets you to Amsterdam in Delta One suites with sliding privacy doors and lie-flat seating, a comfortable way to bridge the Atlantic before a shorter connecting hop into Poland. United routes similarly through its hub network into Europe, often via Newark or Chicago before a transatlantic Polaris business class leg, with the newer Polaris seats offering direct aisle access on select 777 and 787 aircraft. But my strong preference on this specific city pair is LOT Polish Airlines, whose Dreamliner business class — lie-flat with generous width — gives you a true one-stop routing through Warsaw Chopin, LOT's home turf, with connections timed well for onward domestic Polish flights into Wroclaw.
The insider move here is to funnel through Warsaw rather than Amsterdam or Munich whenever LOT's schedule allows, since Chopin Airport's international-to-domestic transfer process for business class ticket holders is notably faster than the Schengen shuffle you'll encounter at AMS or MUC, and LOT's regional jets to Wroclaw depart frequently enough to avoid long layovers. Autumn and late winter travel — October through November, then January through March — consistently yields the most favorable business class availability on this route, since Polish business travel and diaspora visiting patterns spike around holidays and summer, squeezing award and discounted fare space in between.
Given how thinly this route is served in premium cabins, availability and pricing shift quickly and unpredictably across all three carriers, so setting up fare alerts for Indianapolis-Wroclaw business class is the smartest way to catch the periodic drops before they vanish.