Angiogenesis is a fundamental process in wound healing that facilitates tissue repair and regeneration through the formation of new blood vessels. Natural polyphenols have attracted considerable attention as potential therapeutic agents owing to their antioxidant, anti-inflammatory, and tissue-protective properties. In the present study, an in silico approach was employed to investigate the angiogenic potential of 30 natural polyphenols targeting Vascular Endothelial Growth Factor Receptor-2 (VEGFR-2; PDB ID: 3VHE), a key regulator of angiogenesis and vascular remodeling. Molecular docking was performed using AutoDock, and Dexpanthenol, a clinically used wound-healing agent, was selected as the reference standard. The investigated compounds exhibited binding affinities ranging from −5.3 to −10.6 kcal/mol. Among them, kaempferol and fisetin demonstrated the highest binding affinity (−10.6 kcal/mol), followed by quercetin (−10.3 kcal/mol), while apigenin, luteolin, chrysin, naringenin, and hesperetin each exhibited docking scores of −10.2 kcal/mol. Notably, several polyphenols displayed stronger binding affinities than Dexpanthenol (−9.0 kcal/mol). Molecular interaction analysis revealed stable ligand–receptor complex formation through hydrogen bonding, π–π stacking, and hydrophobic interactions involving key amino acid residues, including CYS919, ASP1046, VAL848, LEU1035, PHE1047, and CYS1045. Furthermore, ADMET prediction studies demonstrated favorable pharmacokinetic properties, acceptable toxicity profiles, and compliance with drug-likeness criteria for the top-performing compounds. These findings suggest that kaempferol and fisetin are promising natural VEGFR-2 modulators with potential applications in angiogenesis-mediated wound healing. Further molecular dynamics simulations and experimental validation are warranted to confirm their therapeutic potential and underlying mechanisms of action.