  The processes $pp/ pbar p \to Z \gamma + X \to \ell^+ \ell^- \gamma + X$
($\ell=e, \mu$) and $pp/ pbarp \to Z \gamma + X \to \bar\nu\nu\gamma + X$ are
calculated to ${\cal O}(\alpha_s)$ for general $ZZ\gamma$ and $Z\gamma\gamma$
couplings. The impact of ${\cal O}(\alpha_s)$ QCD corrections on the
observability of $ZZ\gamma$ and $Z\gamma\gamma$ couplings in $Z\gamma$
production at the Tevatron and the Large Hadron Collider (LHC) is discussed.
