Photoionization process is investigated for the ground state and n ≤ 3 excited states of hydrogenlike ions embedded in Debye plasmas for the entire energy range in the nonrelativistie regime.The plasma screening interaction is described by the Debye-Hückel model, and the energy levels and wave functions including both the bound and continuum states are calculated by solving the Sehr(o)dinger equation numerically in a symplectic integration scheme.The screening of Coulomb interactions reduces the number of bound states, increases the energies of bound states and broadens the bound wave functions and varies the phase shift and the amplitude of the continuum wave functions.