  Recently, the muon $g-2$ anomaly has been confirmed at the Fermilab. The
discrepancy is at the 4.2 $\sigma$ level. Also the mass bound of a pure wino
from the LHC is updated. In this letter, we study to what extent the $g-2$ can
be explained in anomaly mediation scenarios, where the pure wino is the
dominant dark matter. To this end, we derive some model-independent constraints
on the particle spectra and $g-2$. We find that the $g-2$ explanation at the
1$\sigma$ level is driven into a corner if a higgsino threshold correction is
suppressed. On the contrary, if the threshold correction is sizable, the $g-2$
can be explained in principle. In the whole viable parameter region, the gluino
mass is at most $2-4$TeV, the bino mass is at most $2$ TeV, and the wino dark
matter mass is at most $1-2$ TeV. If the muon $g-2$ is explained in the anomaly
mediation scenarios, colliders and indirect search for the dark matter may find
further pieces of evidence in the near future. Possible UV models are argued.
