Insects have gained increasing attention as sustainable sources of biomaterials and alternatives for food and feed. However, the rise in insect farming has also led to an increase in residual substrates, including the pupal shell or pupal exuviae. The exuviae, rich in chitin, represent an abundant yet underexplored resource. Chitin serves as a precursor for chitosan, a versatile polysaccharide with applications ranging from biomedical uses to food packaging. Chitin extraction traditionally involves two steps: demineralization and deproteinization. While effective, conventional methods generate acidic waste, raising environmental concerns. This highlights the need for greener alternatives. This study evaluates the effectiveness of milder, eco-friendly acids—citric and formic acids—at removing minerals from black soldier fly exuviae. Tests were conducted at room temperature for 3 h, minimizing energy consumption and potential chitin degradation. Preliminary results indicate that citric and formic acids at 1 M achieved demineralization efficiencies of 98.0 ± 1.4% and 100.5 ± 0.2% in relation to hydrochloric acid (n = 3). These findings underscore the potential of organic acids as sustainable substitutes in chitin extraction. By optimizing these greener methodologies, we can enhance the sustainability of insect-derived chitin and chitosan production while reducing environmental impacts. This aligns with efforts toward circular economy principles, promoting waste reduction and resource efficiency in biomaterial development.