Burn and diabetic wounds present significant challenges due to their complex nature, delayed healing, pain, and high susceptibility to bacterial infections. In this study, we developed and evaluated polyurethae (PU) nanofibers embedded with heparin-functionalized silver nanoparticles (hep-AgNPs) using an electrospinning technique. The choice to functionalize silver nanoparticles with heparin was based on heparin's established role in modulating inflammation and promoting angiogenesis. The electrospun nanofibers exhibited smooth, bead-free morphology with diameters ranging from 300 to 500 nm and demonstrated a sustained release of silver over seven days, offering continuous antimicrobial protection. Mechanical testing of the nanofibers revealed excellent strength and elasticity, making them well-suited for flexible wound dressings. The nanofibers also showed superior water absorption, fluid retention, and controlled water vapor transmission, essential for maintaining a moist wound environment conducive to healing. In vitro biocompatibility assays confirmed that the PU/hep-AgNPs bandages were non-toxic to keratinocytes and fibroblasts and significantly accelerated wound closure, as evidenced by scratch assays. The nanofibrous bandages also exhibited potent antibacterial activity against Staphylococcus aureus and Salmonella Typhimurium, two common wound pathogens. Overall, our findings demonstrate that PU/hep-AgNPs nanofibrous bandages are a promising candidate for chronic wound healing. They combine excellent biocompatibility, anti-inflammatory properties, and strong antimicrobial activity, which collectively contribute to faster wound healing and reduced risk of infection.