  We extend our previous analysis of the sensitivity of the energy dependence
of the polarization asymmetry in $\gamma e \to W\nu$ to the possible existence
of anomalous trilinear gauge couplings to the $\gamma e \to Ze$ case. We find
that by combining the constraints imposed by both the energy dependence of the
total cross section and polarization asymmetry, strong limits on the anomalous
$\gamma ZZ$ couplings are obtainable at the Next Linear Collider. Further
constraints obtained from a consideration of the angular distribution are
briefly discussed.
