Optical transmission studies have been performed on ZnSe thin films and two (Zn,Mn)Se superlattices (Eg&bartil;2.8 eV) of varying barrier compositions and well widths grown by molecular beam epitaxy. The excitons in these samples ranged in character from three dimensional to quasi two dimensional. The spectra, obtained at 77 K as a function of incident light intensity, clearly show the saturation of the excitonic resonance. This is the first demonstration of nonlinear excitonic absorption in the (Zn,Mn)Se system. Mechanisms for the saturation are discussed with estimates for the relative contributions from Coulombic screening and phase space filling.