In this paper, by using the variational method and the effective mass approximation, we have studied the diamagnetic and physical properties of an exciton confined in a cylindrical quantum nanodot. Our nanosystem is under the effects of hydrostatic pressure, temperature and mixed confinement potential. The diamagnetic susceptibility, the ground state energy and the correlation energy of exciton are illustrated in various regimes. The diamagnetic susceptibility computation leads to evaluate the stability of exciton. Our findings clearly show that the diamagnetic susceptibility of the bound exciton strongly enhances with increasing the hydrostatic pressure and decreases with augmenting temperature. On the other hand, it is also remarked that the diamagnetic susceptibility increases when the nanodot size is reduced. Furthermore, it is found that the ground state energy and the Coulombic correlation are strongly affected by the effects of hydrostatic pressure and temperature. To conclude, the hydrostatic pressure and temperature perturbations play an important role to enhance the intensity of electronic and optoelectronic devices through stabilizing the excitonic state properties.