There's a certain irony in routing yourself through the high desert of New Mexico toward the coal country of Silesia, but for those chasing business class from Albuquerque to Katowice, the itinerary rewards patience over shortcuts. There is no nonstop option, of course—no carrier flies that arc directly—so the real decision is which hub personality suits you: Delta through Amsterdam or Paris, United through Frankfurt or Munich, or LOT Polish Airlines routing you through its Warsaw Chopin fortress before the short intra-European hop to Katowice. I've cycled through all three strategies over the years, and my honest take is that LOT's own connection, despite its regional aircraft on the final leg, offers the most seamless customs experience once you land in Poland, since you clear immigration in Warsaw and arrive in Katowice as a domestic-feeling arrival.
For the long Atlantic crossing itself, Delta's A330 or A350 with Delta One suites remains the most consistent hard product out of ABQ's connecting gateways, with lie-flat privacy doors and Delta One amenity kits that hold up well over the roughly 11.5-hour combined journey. United counters with Polaris seating on its 767 or 777 fleet through Newark or its European hubs, and while the seat itself is excellent, I've found their Polaris lounges in Chicago and Newark more reliable pre-flight than what you'll find mid-journey in Frankfurt during peak renovation periods. LOT's own widebody business class, flown on their 787 Dreamliners to the US before you'd connect back east, uses a comfortable staggered seat, but most ABQ travelers will actually be flying Delta or United metal for the transatlantic segment and switching to LOT only for the final domestic-style hop.
One insider tip worth noting: Katowice's airport is compact enough that even a 60-minute connection from Warsaw feels generous, so don't over-buffer that final leg. Winter and shoulder-season months—January through March, and again in October and November—consistently show the softest business class fares on this corridor, so setting up automated fare alerts well before booking will save you from chasing prices manually across three separate carriers.