We compute \langle det (Iz-H) (Iz-H)^\dagger \rangle _H in the limit of infinite matrix dimension N for complex random matrices H with invariant matrix distribution in terms of the eigenvalue distribution of the Hermitian random matrices HH^\dagger . Under the assumption that 1 \over N  \ln  \langle det (Iz-H) (Iz-H)^\dagger \rangle _H is asymptotically equal to 1\over N \langle \ln det (Iz-H) (Iz-H)^\dagger \rangle _H we reproduce the eigenvalue distribution of H obtained previously by Feinberg and Zee, Nucl. Phys. B501, 643 (1997).

PACS numbers: 02.50.Cw, 05.45.Mt, 12.38.--t, 71.20.--b