In (CdSe)1(ZnSe)3/ZnSe short-period superlattice multiple quantum wells, we observed the Raman scattering from ZnSe confined longitudinal optical phonon modes in both the barriers and wells of quantum wells under different resonant conditions. From comparison between theoretical analysis with linear chain model and experimental results, the observed ZnSe confined longitudinal optical phonon mode in the both configuration are shown to be LO1 This differs from the observations in GaAs/AlAs quantum wells and we tentatively attribute the disagreement to the different subband structures in our sample.