ZnO:Zn is a cyan-green emitting PL and EL luminescent material, which has a decay time of 1-3 µs dependent on the details of the sample preparation. To my best knowledge the material does not show persistent luminescence (afterglow). However, persistent luminescence might be introduced by doping the material which introduces deeper defects to store electrons.
Appended you will find a slide with some data concerning ZnO:Zn.