Based on the framework of magnetohydrodynamic theory, a simple model is proposed to study the mitigation effect of finite Larmor radius on the Rayleigh-Taylor instability in Z-pinch implosions. In this model, taking account of T-i greater than or equal to T-e in Z-pinch implosions we believe that the magnetohydrodynamic plasma responds to a perturbation (similar to exp [i (k (.) x - wt)]) at frequency (w + ik(perpendicular to)(2)rho(i)(2)Omega(i)) instead of frequency w, where k(perpendicular to)(2)rho(perpendicular to)(2) is due to the finite Larmor radius effects expressed from the general kinetic theory of magnetized plasma. Therefore the linearized continuity and momentum equations for the perturbed mass-density and velocity include the finite Larmor radius effects. The calculations indicate that, in the wavenumber region of interest, the finite Larmor radius effects can mitigate the Rayleigh-Taylor instability in Z-pinch implosions.