  In this work we consider the influence of potential impurities deposited on
top of two-dimensional chiral superconductors. As discovered recently, magnetic
impurity lattices on an $s$-wave superconductor may give rise to a rich
topological phase diagram. We show that similar mechanism takes place in chiral
superconductors decorated by non-magnetic impurities, thus avoiding the
delicate issue of magnetic ordering of adatoms. We illustrate the method by
presenting the theory of potential impurity lattices embedded on chiral
$p$-wave superconductors. While a prerequisite for the topological state
engineering is a chiral superconductor, the proposed procedure results in
vistas of nontrivial descendant phases with different Chern numbers.
