There's no nonstop escape from Tampa to Norway's fjord-side capital, which means the routing decision matters more than the airline decision on this itinerary. Business class from Tampa to Oslo requires a connection, and after dozens of these crossings, I've settled on Delta's Amsterdam or Paris hub-and-spoke as the most reliable path, with United's Newark or Chicago connections and American's London or Charlotte options as solid alternatives depending on which alliance you've built status with. Delta's transatlantic metal often features the Delta One suite with a closing door on their A330-900neo or A350 equipment, which is worth angling for if your itinerary allows a same-day connection in Atlanta before the long haul east.
The real craft here is minimizing your total travel time given that TPA sits outside the major international gateway cluster. I always tell people flying this corridor to build in at least 90 minutes at whichever European connection point they choose—Amsterdam's Schiphol and Paris CDG can both eat your buffer if immigration lines are heavy during peak summer travel. United routes through Newark tend to offer the most consistent Polaris business seats on the transatlantic leg, and American's partnership with British Airways via London means you might find yourself in a Club Suite for the final push into Oslo, though that adds a third flight segment to consider. My insider tip: Oslo Gardermoen's arrivals process moves remarkably fast for a Schengen hub, so even tight connections on the return can work if you're transiting through another European city first.
Summer remains the sweet spot for this route—May through September brings Norway's endless daylight and noticeably better award and revenue fare availability, since Scandinavian leisure demand hasn't yet oversaturated the transatlantic business cabins the way winter holiday traffic does. Given how fare classes shift week to week on connecting itineraries like this, setting up automated price tracking for Tampa-Oslo business class fares will save you from manually refreshing search results during the narrow windows when premium inventory opens up.