Crickets (also known as “true crickets”), of the family Gryllidae, are insects related to bush crickets, and, more distantly, to grasshoppers.
The Gryllidae have mainly cylindrical bodies, round heads, and long antennae.
Behind the head is a smooth, robust pronotum.
The abdomen ends in a pair of long cerci (spikes); females have a long, cylindrical ovipositor.
The hind legs have enlarged femora (thighs), providing power for jumping.
The front wings are adapted as tough, leathery elytra (wing covers), and some crickets chirp by rubbing parts of these together.
The hind wings are membranous and folded when not in use for flight; many species, however, are flightless.
The largest members of the family are the bull crickets, Brachytrupes, which are up to 5 cm (2 in) long. (source)
So can hamsters eat crickets?
Yes they can eat crickets.
They are fine for them because they don’t contain any nutrients that would cause them harm
They will very much enjoy them as well.
Just make sure that they have been bred in captivity and not in the wild.
This is because wild crickets may contain parasites that maybe dangerous for a hamster.