Are there nonstop flights from Zakynthos (ZTH) to Bari (BRI)?

Yes. Ryanair, Volotea fly this route. Flight time is about 1h 6m.

What is the fastest connection from Zakynthos (ZTH) to Bari (BRI)?

via Kefallinia Island ≈ 1h 37m, via Corfu ≈ 1h 38m, via Preveza ≈ 1h 39m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Zakynthos International Airport "Dionysios Solomos" (ZTH) to Bari Karol Wojtyła International Airport (BRI)・517 km

Nonstop flights available (2 airlines). Flight time about 1h 6m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via ATH)Economy, one way, estimate. Tap a connection for miles by cabin.

7 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.