Are there nonstop flights from Fuzhou (FOC) to Hami (HMI)?

No. The fastest connection is via Xi'an, about 4h 33m of total flying time.

What is the fastest connection from Fuzhou (FOC) to Hami (HMI)?

via Xi'an ≈ 4h 33m, via Lanzhou ≈ 4h 34m, via Yinchuan ≈ 4h 35m (estimated flying time, excluding layovers).

from 10,000 ANA miles (economy, one way, based on the published award charts).

Fuzhou Changle International Airport (FOC) to Hami Airport (HMI)・3,016 km

No nonstop flights. The fastest connection is via Xi'an (XIY), about 4h 33m of flying time (layover not included).

With milesANA 10,000 miles+ (via PEK)Economy, one way, estimate. Tap a connection for miles by cabin.

None.

19 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.