  We prove that every $0$-shifted Poisson structure on a derived Artin
$n$-stack admits a curved $A_{\infty}$ deformation quantisation whenever the
stack has perfect cotangent complex; in particular, this applies to LCI
schemes, where it gives a DQ algebroid quantisation. Whereas the
Kontsevich--Tamarkin approach to quantisation for smooth varieties hinges on
invariance of the Hochschild complex under affine transformations, we instead
exploit the observation that the Hochschild complex carries an anti-involution,
and that such anti-involutive deformations of the complex of polyvectors are
essentially unique. We also establish analogous statements for deformation
quantisations in $\mathcal{C}^{\infty}$ and analytic settings.
