  We predict femtoscopy correlation functions for $S$--wave $D_{(s)}\phi$ pairs
of lightest pseudoscalar open charm mesons and Goldstone bosons from
next-to-leading order unitarized heavy-meson chiral perturbation theory
amplitudes. The effect of the two-state structure around $2300\,\text{MeV}$ can
be clearly seen in the $(S,I)=(0,1/2)$ $D\pi$, $D\eta$, $D_s \overline{K}$
correlation functions, while in the scalar-strange $(1,0)$ sector, the
$D^\ast_{s0}(2317)^{\pm}$ state lying below the $DK$ threshold produces a
depletion of the correlation function near threshold. These exotic states owe
their existence to the nonperturbative dynamics of Goldstone-boson scattering
off $D_{(s)}$. The predicted correlation functions could be experimentally
measured and will shed light into the hadron spectrum confirming that it should
be viewed as more than a collection of quark model states.
