Perhaps you mean long tailed salamander??
Whether it can eat crickets will depend on the size of the cricket. Unless you have access to pinhead crickets, or possibly 1/8" crickets, the answer is probably no.
Other possible prey items would include bean beetles, fruit flies, and smaller isopods, all of which you can easily culture at home.
I would strongly encourage you to research care of this species, and small plethodontids in general. Start by spending some time on the forums here. Tiny salamanders like this can be very challenging to keep alive, especially if you are a beginner. They are also very adept at escape, being able to climb glass and squeeze through very tiny openings.
If this is a salamander that you recently caught in the wild, the best course may be to release it where it was found.
