A theory of the zero-temperature superconductor-metal transition is developed for an array of superconductive islands (of size $d$) coupled via a disordered two-dimensional conductor with the dimensionless conductance $g=\hbar/e^2R_\square\gg1$. At $T=0$ macroscopically superconductive state of the array with lattice spacing $b\gg d$ is destroyed at $g<g_c\approx0.1\ln^2(b/d)$. At high temperatures the normal-state resistance between neighboring islands at $b=b_c$ is much smaller than $R_Q=h/4e^2$.