  It is pointed out that the phase convention of the CKM matrix V affects
texture analysis of the quark mass matrices (M_u, M_d) when we try to describe
(M_u, M_d) by the observable quantities (quark masses and CKM matrix
parameters) only. This is demonstrated for a case of the non-Hermitian
Fritzsch-type mass matrix (tilde{M}_u, tilde{M}_d), which is a general
expression of quark mass matrix (M_u, M_d) and is described by twelve
parameters. We find that we can always choose a phase convention of V which
yields tilde{M}_{u32} = 0, so that the remaining ten parameters in (tilde{M}_u,
tilde{M}_d) can completely be expressed by the ten observable quantities.
