In the present work, sandwich-like polycaprolactone/gelatin/polycaprolactone electrospun multilayered mats were implemented to control the release of ceftazidime (CTZ). The outer layers were made from polycaprolactone nanofibers (NFs), and CTZ-loaded gelatin provided an internal layer. The release profile of CTZ from mats was compared with monolayer gelatin mats and chemically cross-linked GEL mats. All the constructs were characterized using scanning electron microscopy (SEM), mechanical properties, viscosity, electrical conductivity, X-ray diffraction (XRD), and Fourier transform-infrared spectroscopy (FT-IR). In vitro cytotoxicity against normal fibroblasts as well as antibacterial activity of CTZ-loaded sandwich-like NFs were investigated by the MTT assay. The results showed that the drug release rate from the polycaprolactone/gelatin/polycaprolactone mat was slower than that of gelatin monolayer NFs, and the rate of release can be adjusted by changing the thickness of hydrophobic layers. The NFs exhibited high activity against Pseudomonas aeruginosa and Staphylococcus aureus, while no significant cytotoxicity was observed against human normal cells. Altogether, the final mat as a predominant antibacterial scaffold can be used for controlled drug release of antibacterial drugs as the wound healing dressings in tissue engineering.