Tooth extraction is a common oral surgical procedure that often leads to delayed alveolar socket healing due to the complexity of the oral microenvironment, which can hinder the patient's aesthetic and functional recovery. Effective alveolar socket healing requires a multidisciplinary approach. Recent advancements in materials science and bioengineering have facilitated the development of innovative strategies, with hydrogels emerging as ideal restorative materials for alveolar socket repair due to their superior properties. This review provides an overview of recent advances in hydrogels for alveolar socket healing, focusing on their classification, physical properties (e.g., mechanical strength, swelling behavior, degradation rate, and injectability), biological functions, and applications in relevant animal models. Specifically, the bone-regenerative and antimicrobial properties of hydrogels are highlighted. Furthermore, this review identifies future directions and addresses challenges associated with the clinical application of hydrogels in extraction socket healing.