No airline threads a single business class cabin from Tampa to Zagreb nonstop — this Gulf Coast to Adriatic route requires a connection, and the routing you choose matters more than almost any other variable in your trip's comfort. There is no nonstop service between Tampa and Zagreb, so business class from Tampa to Zagreb means building your own itinerary through a major European or Atlantic hub, and the two smartest options are Delta via Amsterdam or JFK paired with a Croatia Airlines (OU) continuation, or Lufthansa via Frankfurt or Munich. Delta's transatlantic metal typically means the A330 or A350 with Delta One suites — fully lie-flat, all-aisle-access seating that makes the long night leg tolerable before you connect onward. Lufthansa flyers should look for the newer Allegris business seats now rolling out on select 787 and A350 routes out of Frankfurt and Munich, though on older 747-8 or A340 equipment you'll still find the standard fully flat Lufthansa business product, which remains comfortable if less private.
The final hop into Zagreb is almost always operated by Croatia Airlines' regional jets, which run a standard European business class of blocked middle seats rather than a true lie-flat product — don't expect luxury on this leg, but do expect quick, efficient service and a scenic descent into ZAG's compact terminal, which clears passport control fast even in peak summer. My insider tip: build in a two-hour-plus connection in Frankfurt or Munich if flying Lufthansa, since Croatia Airlines gates are frequently in a different Schengen zone than the long-haul arrival, and rushing that walk is the single most common reason travelers miss this final leg.
January through March and October through November are consistently the softest months for fares on this corridor, as Adriatic tourism demand collapses outside summer while transatlantic business inventory stays flexible. Given how many moving pieces this itinerary has — three carriers, multiple hubs, seasonal swings — setting up automated fare alerts is the easiest way to catch the rare moments when Delta One or Lufthansa business pricing dips into a genuinely good deal.