  We show that a $(p,q)$-cable of a non-trivial knot $K$ does not admit
chirally cosmetic surgery for $q\neq 2$, or $q=2$ with additional assumptions.
In particular, we show that $(p,q)$-cable of non-trivial knot $K$ does not
admit chirally cosmetic surgery as long as the JSJ piece of knot exterior does
not contain $(2,r)$-torus exterior. We also show that an iterated torus knot
other than $(2,p)$-torus knot does not admit chirally cosmetic surgery.
