  We study angular observables in the $e^+e^-\to Z H\to \ell^+
\ell^-\,b\bar{b}$ channel at future circular $e^+ e^-$ colliders such as CEPC
and FCC-ee. Taking into account the impact of realistic cut acceptance and
detector effects, we forecast the precision of six angular asymmetries at CEPC
(FCC-ee) with center-of-mass energy $\sqrt{s} =$ 240 GeV and 5 (30) ${\rm
ab}^{-1}$ integrated luminosity. We then determine the projected sensitivity to
a range of operators relevant for the Higgs-strahlung process in the
dimension-6 Higgs EFT. Our results show that angular observables provide
complementary sensitivity to rate measurements when constraining various tensor
structures arising from new physics. We further find that angular asymmetries
provide a novel means of both probing BSM corrections to the $H Z \gamma$
coupling and constraining the "blind spot" in indirect limits on supersymmetric
scalar top partners.
