  In this work, inspired by the observation of charmoniumlike
$Z_{c}^{+}(4200)$% , we study the photoproduction of charged charmoniumlike
$Z_{c}^{+}(4200)$ with an effective Lagrangian approach and the Regge
trajectories model. The numerical results indicate that the Reggeized treatment
can lead to a lower total cross section of the $Z_{c}^{+}(4200)$
photoproduction and the peak position of cross section was moved to the higher
energy point when the Reggeized treatment was added. {Moreover, using the data
from the COMPASS experiment and presented theoretical predictions, an upper
limit of the decay width of $Z_{c}(4200)\rightarrow J/\psi \pi $ is estimated.}
The relevant results not only shed light on the further experiment of searching
for the charmoniumlike $Z_{c}(4200)$ state via meson photoproduction, but also
provide valuable informations for having a better comprehension of the nature
of charmoniumlike $Z_{c}(4200)$ state.
