  The magnetic dipole moments of the $Z_{c}(4020)^+$, $Z_{c}(4200)^+$,
$Z_{cs}(4000)^{+}$ and $Z_{cs}(4220)^{+}$ states are extracted in the framework
of the light-cone QCD sum rules. In the calculations, we use the hadronic
molecular form of interpolating currents, and photon distribution amplitudes to
get the magnetic dipole moment of $Z_{c}(4020)^+$, $Z_{c}(4200)^+$,
$Z_{cs}(4000)^{+}$ and $Z_{cs}(4220)^{+}$ tetraquark states. The magnetic
dipole moments are obtained as $\mu_{Z_{c}} = 0.66^{+0.27}_{-0.25}$,
$\mu_{Z^{1}_{c}}=1.03^{+0.32}_{-0.29}$, $\mu_{Z_{cs}}=0.73^{+0.28}_{-0.26}$,
$\mu_{Z^1_{cs}}=0.77^{+0.27}_{-0.25}$ for the $Z_{c}(4020)^+$, $Z_{c}(4200)^+$,
$Z_{cs}(4000)^{+}$ and $Z_{cs}(4220)^{+}$ states, respectively. We observe that
the results obtained for the $Z_{c}(4020)^+$, $Z_{c}(4200)^+$,
$Z_{cs}(4000)^{+}$ and $Z_{cs}(4220)^{+}$ states are large enough to be
measured experimentally. As a by product, we predict the magnetic dipole
moments of the neutral $Z_{cs}(4000)$ and $Z_{cs}(4220)$ states. The results
presented here can serve to be helpful knowledge in experimental as well as
theoretical studies of the properties of hidden-charm tetraquark states with
and without strangeness.
