  The zeroth-order general Randi\'{c} index $R^{0}_{a}$ of a digraph $D$ is the
sum of $(d^{+}_{v})^{a}+(d^{-}_{w})^{a}$ over all arcs $vw$ of $D$, where $a$,
$d^{+}_{v}$ and $d^{-}_{w}$ are an arbitrary real number, the out-degree of the
vertex $v$ and the in-degree of the vertex $w$, respectively. We determine
maximum zeroth-order general Randi\'{c} index of oriented trees, unicyclic and
bicyclic graphs in terms of matching number and order in this paper.
