Couples the hydrolysis of ATP with the transport of zinc into the cell. Plays an important role in protecting cells against oxidative stress. ZosA-mediated zinc transport is required for post-transcriptional control of comK and competence development. ATP(in) + H2O(in) + Zn(2+)(out) = ADP(in) + H(+)(in) + phosphate(in) + Zn(2+)(in) By hydrogen peroxide. Repressed by PerR. Disruption results in low transformability, which can be rescued by the addition of excess zinc. Belongs to the cation transport ATPase (P-type) (TC 3.A.3) family. Type IB subfamily.