  Inspired by Kerr's work on topological dynamics, we define tracial
$\mathcal{Z}$-stability for sub-$C^*$-algebras. We prove that for a countable
discrete amenable group $G$ acting freely and minimally on a compact metrizable
space $X$, tracial $\mathcal{Z}$-stability for the sub-$C^*$-algebra
$(C(X)\subseteq C(X)\rtimes G)$ implies that the action has dynamical
comparison. Consequently, tracial $\mathcal{Z}$-stability is equivalent to
almost finiteness of the action, provided that the action has the small
boundary property.
