Are there nonstop flights from Odesa (ODS) to Yerevan (EVN)?

Yes. SkyUp fly this route. Flight time is about 2h 2m.

What is the fastest connection from Odesa (ODS) to Yerevan (EVN)?

via Tbilisi ≈ 2h 41m, via Istanbul ≈ 3h 14m, via Istanbul ≈ 3h 16m (estimated flying time, excluding layovers).

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

Odesa International Airport (ODS) to Zvartnots International Airport (EVN)・1,309 km

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

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

6 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.