In on-shell Zγ production,deviations from the Standard Model for the Zγγ* and ZγZ* couplings may be described in terms of eight parameters,hiV (i =1,4;V =γ,Z) [1].The parameters hγi describe the Zγγ* couplings and the parameters hiZ the ZγZ* couplings.In this formalism h1V and h2V lead to CP-violating and h3V and h4V to CP-conserving effects.All these anomalous contributions to the cross section increase rapidly with center-of-mass energy.