The variational approach has been used to theoretically investigate the effects of the dot radius and electric filed strength on binding energy (BE), Stark-shift and photoionization-cross section PICS of donor impurity confined in the (CdS/ZnSe) core/shell spherical quantum dot CSSQDs capped in different dielectric matrices such as the silicon dioxide (SiO2), the polyvinyl chloride (PVC) and the polyvinyl alcohol (PVA). Our achieved results showed that the BE and the Stark-shift depended highly on the presence of the dielectric matrix and the modification of the core radius. The increase of applied electric field (EF) intensity and the core radius induces a decrease in the BE and lead to an improvement of PICS magnitude accompanied by redshift of their resonance picks.