The complex partition function and the Fisher zero concept provide an inherent statistical mechanism for finite temperature and real-time dynamic phase transitions. We extend the utility of these complications to quantum phase transitions. We accurately identify various Fisher zeros on lines or closed curves and elucidate their correspondence with domain-wall excitations or confined mesons in one-dimensional transverse-field Ising models. The Fisher zero crossover behavior provides a fascinating picture of the criticality near the quantum phase transition, where the excitation energy scale is quantitatively determined. We further confirm our results by tensor network calculations, showing a clear signal of unconfined meson excitations from closed zero curve breaking. Our results clearly demonstrate the important Fisher zero feature of the quantum phase transition and open a new avenue for exploring quantum criticality.