The paper is dedicated to the modeling of the dynamical behavior of a Zinc-Air battery. The main goal is to construct a model-based prediction mechanism for the output voltage of the battery cell as a function of the discharge current profile. There are several difficulties behind this construction, mainly related to the nonlinear behavior, the high influence of the cell geometrical configuration, and ultimately the impact of the measurements in the transitory. The current work goes a step forward with respect to the constant current models developed in the previous studies and enhances a series of modeling hypotheses through the analysis of a piece-wise constant discharge profile. The important advantage of the results presented in the current work is related to the real-data measurements accompanied by the detailed pre-treatment procedures and, finally, to the construction of the model and the comparison with the existing alternative approaches.