Are there nonstop flights from Geneva (GVA) to Cologne (CGN)?

No. The fastest connection is via Zurich, about 1h 44m of total flying time.

What is the fastest connection from Geneva (GVA) to Cologne (CGN)?

via Zurich ≈ 1h 44m, via Milan ≈ 1h 57m, via Munich ≈ 2h 5m (estimated flying time, excluding layovers).

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

Geneva International Airport (GVA) to Cologne Bonn Airport (CGN)・520 km

No nonstop flights. The fastest connection is via Zurich (ZRH), about 1h 44m of flying time (layover not included).

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

None.

12 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.