Direct (nonstop) flights between Dallas/Fort Worth International Airport (DFW) and Athens International Airport Eleftherios Venizelos (ATH) are uncommon; most travelers will book connecting flights. Connecting itineraries often offer better pricing, more schedule options, and routing flexibility via hubs like London, Frankfurt, and Amsterdam. When choosing between direct vs connecting, weigh factors such as total travel time, layover convenience, baggage transfer rules, and potential savings. For April travel, short, well-timed connections can make the trip efficient while keeping costs down.