  We study radiative decays of $D^*_{sJ}(2317)$ and $D_{sJ}(2460)$ using
light-cone QCD sum rules. In particular, we consider the decay modes
$D^*_{sJ}(2317)\to D_s^* \gamma $ and $D_{sJ}(2460)\to D_s^{(*)} \gamma,
D^*_{sJ}(2317) \gamma$ and evaluate the hadronic parameters in the transition
amplitudes analyzing correlation functions of scalar, pseudoscalar, vector and
axial-vector quark currents. In the case of $D^*_{sJ}(2317)\to D_s^* \gamma $
we also consider determinations based on two different correlation functions in
HQET. The decay widths turn out to be different than previous estimates
obtained by other methods; the results favour the interpretation of
$D^*_{sJ}(2317)$ and $D_{sJ}(2460)$ as ordinary $\bar c s$ mesons.
