The predictive current control (PCC) method is based on nominal parameters to predict and control the current of permanent magnet synchronous motors (PMSM). However, there may be mismatches between actual parameters and their nominal values due to material aging, temperature rise, or magnetic saturation. In this paper, the effects of parameter mismatches on system stability and current tracking errors are analyzed theoretically and verified. Furthermore, based on current errors, a robust PCC scheme with parallel compensation terms onto the conventional deadbeat predictive current controller is proposed. Since there is no change introduced into the original controller, the proposed robust PCC method can be easily implemented. Finally, feasibility and validity of the proposed robust PCC scheme against multi-parameter mismatches are confirmed by experiments, in addition, the experimental results show that system steady-state robustness is improved with no cost to transient performance.