In this work, an attempt to analyze a single-species logistic growth model with quota harvesting using fuzzy differential equations has been done. The model’s parameters, such as the carrying capacity, intrinsic growth rate, population density, and harvesting coefficient, have been taken as triangular fuzzy numbers. Using the generalized Hukuhara derivative method, the solution process is carried out. The parametric restrictions have been obtained for the existence of equilibrium points and their feasibility. Further, the stability of the system has been analyzed analytically as well as numerically in different conditions. The phase portrait diagrams have been plotted for the sake of clarity in the analytical findings.