Renewable Energy Communities (RECs) represent a strategic pillar in the transition toward a more sustainable energy system, fostering local production and sharing of energy from renewable sources while delivering environmental, economic, and social benefits. This study proposes an innovative methodology aimed at optimizing self-consumption and energy self-sufficiency of Heating, Ventilation, and Air Conditioning (HVAC) systems within the framework of REC. The case study focuses on a newly constructed social housing residential building in Naples, conceived as an integral component of a REC. The proposed approach integrates a heat pump (HP), a thermal energy storage system (TES), and a photovoltaic (PV) installation. Specifically, the electrical energy generated by the PV system is converted into thermal energy via the heat pump and stored in the TES system; this stored energy is subsequently utilized to operate the HVAC system, thereby reducing reliance on grid electricity. Based on the estimation of the building’s energy demand, numerical simulations were performed under various operational scenarios to identify the optimal configuration for maximizing self-consumption and self-sufficiency. The results indicate that, through strategic hourly scheduling of thermal storage, the HVAC system achieves a significant enhancement in energy performance, yielding measurable economic and environmental benefits.