Trondheim rarely appears on the radar of American business travelers, which is precisely why the routing deserves attention: there is no nonstop option, so business class from Cleveland to Trondheim requires a transatlantic connection through Frankfurt, Amsterdam, or Copenhagen, with total journey time landing around 8.5 hours of actual flying once you exclude layovers. My preference after years of testing this corridor is the SAS connection via Copenhagen — SAS operates modern A350s and A321LRs on various legs with fully flat business seats, and Copenhagen's compact Terminal 3 makes for one of the more civilized connections in Europe, especially if you clear security early and enjoy the SAS Gold lounge before the short Trondheim hop. Lufthansa via Frankfurt is the other strong contender, particularly now that Allegris cabins are rolling out on select long-haul aircraft, though you'll want to confirm equipment before booking since Allegris isn't yet fleet-wide.
KLM through Amsterdam rounds out the trio, and their World Business Class on the 787 or A330 remains a dependable, if unspectacular, product — Schiphol's efficient transfer process is the real selling point here, particularly for early morning arrivals into gate-adjacent European connections. An insider tip few mention: the final leg into Trondheim (Værnes airport) is often operated by regional aircraft with no true business cabin, so your premium experience is really about the transatlantic and first European sector — book accordingly and don't expect flat-bed comfort on the final push into Norway. Summer months bring both better weather for Trondheim's fjord scenery and softer fares, as Scandinavian carriers compete harder for transatlantic connecting traffic during May through September before ski season demand shifts patterns entirely.
Given the three-carrier competition and the seasonal fare swings on this itinerary, setting up automated price tracking for Cleveland-Trondheim business class fares is the smartest move — award space and premium cabin pricing here fluctuates enough that manual checking will cost you both time and money.