The screening dependence theoretical investigations of the superconducting state parameters (SSP) viz. electron-phonon coupling strength lambda, Coulomb pseudopotential mu(*), transition temperature T (C) , isotope effect exponent alpha and effective interaction strength N (O) V of ten binary Cu (C) Zr100-C (C=25, 30, 33, 35, 40, 45, 50, 55, 57 and 60) metallic glasses have been reported using Ashcroft's empty core (EMC) model potential. Five local field correction functions proposed by Hartree (H), Taylor (T), Ichimaru-Utsumi (IU), Farid et al. (F), and Sarkar et al. (S) are used in the present investigation to study the screening influence on the aforesaid properties. It is observed that the electron-phonon coupling strength lambda and the transition temperature T (C) are quite sensitive to the selection of the local field correction functions, whereas the Coulomb pseudopotential mu(*), isotope effect exponent alpha and effective interaction strength N-O V show weak dependences on the local field correction functions. The values of T (C) obtained from the H-local field correction function are in qualitative agreement with available theoretical or experimental data and show almost linear nature with the concentration C of Cu element. A linear T (C) equation is proposed by fitting the present outcomes for the H-local field correction function, which is in conformity with other results for the experimental data. Also, the present results are in qualitative agreement with other such earlier reported data, which confirms the superconducting phase in the metallic glasses.