Are there nonstop flights from Ashgabat (ASB) to Seoul (ICN)?

Yes. Turkmenistan Airlines fly this route. Flight time is about 7h 23m.

What is the fastest connection from Ashgabat (ASB) to Seoul (ICN)?

via Beijing ≈ 7h 53m, via Ürümqi ≈ 7h 53m, via Xi'an ≈ 8h 12m (estimated flying time, excluding layovers).

from 18,500 ANA miles (economy, one way, based on the published award charts).

Ashgabat International Airport (ASB) to Incheon International Airport (ICN)・5,845 km

Nonstop flights available (1 airline). Flight time about 7h 23m. Nonstop return flights also operate.

With milesANA 18,500 miles+ (via IST)Economy, one way, estimate. Tap a connection for miles by cabin.

9 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.