Tivat's tiny Adriatic airport, wedged between limestone peaks and the Bay of Kotor, has never hosted a nonstop flight from the United States, and it likely never will given its short runway and seasonal charter-heavy traffic. That reality shapes every itinerary I've built for clients chasing business class from Nashville to Tivat, and it always comes down to routing through a European hub before catching a regional hop on Croatia Airlines or Montenegro Airlines partners. The most reliable combination pairs Lufthansa's long-haul metal out of BNA-adjacent hubs like Atlanta or Chicago (Nashville itself only offers domestic connections, so you'll first backtrack to a major gateway) with a transfer through Frankfurt or Munich, where Lufthansa's Allegris business class — when assigned to the aircraft, since not all routes have it yet — offers sliding doors and a genuine flat-bed that makes the eleven-plus-hour transatlantic leg tolerable before the short bounce down to Montenegro.
Turkish Airlines via Istanbul is my preferred alternative for this itinerary, and I say that as someone who's routed dozens of Balkan-bound travelers through IST. Turkish's business class product, with its wide seats and that famously indulgent onboard chef service, softens the long haul, and Istanbul's connection times to Tivat are generally smoother than Frankfurt's during peak summer congestion. Croatia Airlines' regional partner Air Serbia (OU) also shows up in itineraries via Belgrade, useful if fares skew cheaper on that combination, though the aircraft on the final leg will be narrow-body regional jets regardless of which hub you choose — manage expectations accordingly for that last segment.
My insider tip: book the Belgrade or Istanbul routing with at least a three-hour connection window, since Tivat-bound flights often depart from remote stands requiring bus transfers, and delays cascade quickly in shoulder season. April, May, September, and October consistently offer the best combination of fare value and manageable Adriatic weather, avoiding both winter's limited frequencies and summer's premium pricing. Given how erratic Montenegro-bound business fares can be, I'd set continuous fare alerts rather than checking manually — this route rewards patience and automation far more than luck.