There's no nonstop path connecting the Valley of the Sun to the Vistula, which makes routing strategy the real decision point for anyone booking business class from Phoenix to Warsaw. In practice, this means one connection through a major American gateway—Chicago O'Hare on American, or a European hub like Munich or Frankfurt via United's Star Alliance partner Lufthansa, or Amsterdam and Paris via Delta's KLM/Air France network. American routes PHX-ORD-WAW territory using American's own metal on the transatlantic leg when available, with lie-flat seats in a 1-2-1 configuration on widebody aircraft; United typically hands off the long-haul segment to Lufthansa, where Allegris cabins have begun appearing on select Frankfurt and Munich routes, though older 747 and A340 business configurations still fly some Warsaw-bound rotations. Delta's transatlantic partners fly Delta One suites with sliding privacy doors out of Amsterdam and Paris, arguably the most consistent hard product of the three alliances on this itinerary.
Having flown this corridor across several seasons, I've found that the connection city matters more than the marketing name of the cabin. Munich and Amsterdam offer smoother, faster transfers into Warsaw than Chicago's often-congested international terminal, and both cities have excellent lounges worth a two-hour buffer if your connection allows it. My insider tip: build in a same-day layover of at least 90 minutes longer than the airline's minimum when connecting through Chicago in winter, since de-icing delays on ORD's international departures are common January through March and can cascade into missed evening Warsaw arrivals. Aim for outbound travel in the shoulder months—January, February, March, and again October and November—when both fares and award space loosen up considerably compared to summer's Polish tourism surge.
Given how much routing and pricing fluctuates across three carriers and their overseas partners, setting up fare alerts for this specific city pair is the smartest way to catch a business class fare drop before it disappears.