We give a classification theorem of Hopf hypersurfaces $M^{2n-1}$ with $\eta$-parallel Ricci tensors in a nonflat complex space form $\widetilde{M}_n(c), n \geqq 2$. There exist non-homogeneous Hopf hypersurfaces $M^3$ with $\eta$-parallel Ricci tensors in $\widetilde{M}_2(c), c \not= 0$. Note that these real hypersurfaces do not have $\eta$-parallel shape operators in this ambient space.