Polarization spectroscopy of He + (nl) ion produced in He 2+ -H(1s) collisions in a Debye plasma is studied by the two-center atomic orbital close-coupling (TC-AOCC) method in the energy range 1-200 keV/u. The atomic orbitals and electron binding energies of atomic states are calculated within the Debye-Hückel approximation of the screened Coulomb potential and used in the AOCC dynamics formalism to calculate the magnetic substate-selective electron-capture cross sections. It is demonstrated that the screening of Coulomb interactions affects the entire collision dynamics and the magnitude and energy behavior of m-state-selective cross sections. The changes in magnetic substate-selective electron-capture cross sections when the interaction screening varies introduce dramatic changes in the polarization spectroscopy with respect to the unscreened interaction case. The magnetic substate-selective electron-capture cross sections, as well as the polarization degrees for the 2p 2 P 3/2 -1s 2 S 1/2 ,3p 2 P 3/2 -2s 2 S 1/2 ,3d 2 D 5/2 -2p 2 P 3/2 , and 3d 2 D 3/2 -2p 2 P 1/2 transitions in the He + ion produced in this collision system, are presented and discussed for a number of representative screening parameter values.