There's no nonstop escape from Cleveland to Scandinavia, which means every business class from Cleveland to Copenhagen itinerary runs through a US or European gateway, and after years of routing this exact city pair, I've settled on a firm hierarchy of preferences. United connects via Newark or Washington Dulles, both offering Polaris business with lie-flat seats and direct aisle access on widebody aircraft, and Dulles in particular is a reliably smooth connection for European departures. Delta's strength lies in its Amsterdam and Paris hubs via joint venture partners, where Delta One suites—now standard on most transatlantic widebodies—give you a proper door and genuine privacy, a meaningful upgrade if you're used to older business cabins. American routes through Philadelphia or its JFK gateway using Flagship Suites on select aircraft, though seasonal scheduling means you should double-check equipment before booking, since not every transatlantic frame carries the newest Flagship product yet.
Total journey time hovers around 8.5 hours of actual flying once airborne, but factor in a realistic two-to-three hour connection buffer, especially in summer when European ATC delays ripple through Amsterdam, Paris, and even Newark. My insider tip, gleaned from a dozen bad guesses: build your connection through Amsterdam rather than a UK gateway whenever Delta or a partner offers it, since KLM's Schiphol transfer process for business class passengers is faster and less congested than the security theater you'll encounter at Heathrow, and it sets you up for an easy 45-minute hop into Copenhagen. If you land at CPH in daylight, which most morning arrivals do, don't fight the jet lag—walk into the city rather than napping, since Copenhagen's compact center rewards an immediate outdoor reset.
May through September is unquestionably the sweet spot for this route, both for weather in Denmark and for award and revenue fare availability, as airlines add capacity to meet Scandinavian summer demand. That said, business class pricing from a secondary market like Cleveland can swing unpredictably based on connection routing and partner inventory, so rather than guessing at the right moment to buy, set up fare alerts and let automated tracking do the legwork while you wait for the right window to open.