Kosice is not a city most San Antonio travelers stumble into by accident, and getting there in a lie-flat seat requires a bit of routing savvy that few domestic travel agents bother to master. There is no nonstop option, of course — the practical answer for business class from San Antonio to Kosice runs through either Atlanta on Delta, Frankfurt or Munich on Lufthansa, or Istanbul on Turkish Airlines, with total journey time hovering around 11.5 hours of pure flying once you strip out connections. I've flown all three routings over the years, and each rewards a slightly different traveler. Delta's transatlantic metal (typically 767 or A330/A350 depending on gateway) gets you into Frankfurt or Munich where a same-alliance Lufthansa connection to Kosice is seamless if you've checked bags through. Lufthansa's own product is the one to chase for the long-haul leg: their Allegris business class, now rolling out on select routes, brings a level of privacy and seat customization that older configurations simply don't match — though on some aircraft you'll still find the previous-generation flat-bed, which is comfortable but unremarkable.
The Istanbul routing via Turkish Airlines deserves more attention than it gets. Turkish's business class hard product, paired with their genuinely excellent lounge in Istanbul, makes the long connection almost enjoyable rather than something to endure, and their catering remains among the best of any carrier flying into Central Europe. My insider tip: build in a three-hour-plus buffer in Istanbul or Frankfurt during winter months, since Kosice's regional airport runs a thin schedule and misconnections there mean a full day's delay, not a quick rebooking.
January through March and October into November consistently show the softest fares on this corridor, as leisure demand to Slovakia dries up outside summer and Christmas. Given how thin and volatile award and premium cash space can be on the Kosice legs specifically, setting up fare alerts for this exact routing is far more reliable than checking manually — prices here move in narrow windows that reward those watching closely.