Z anomalous couplings and the polarization asymmetry in gamma e->Ze

We extend our previous analysis of the sensitivity of the energy dependence of the polarization asymmetry in gamma e-->W nu to the possible existence of anomalous trilinear gauge couplings to the gamma e-->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.