  We present the calculation of the $Z_H \to \gamma H$ decay in the context of
the Littlest Higgs model at one-loop level. Our calculations include the
contributions of fermions, scalars and gauge bosons in accordance with the most
recent experimental constraints on the parameters space of the model. We find
branching ratios of the order of $10^{-5}$ for the energy scale $f=2,3,4$ TeV
on the $0.1<c<0.9$ region. In order to provide a complementary study we
calculated the production cross section of the $Z_H$ boson in $pp$ collisions
at Large Hadron Collider with a center of mass energy of 14 TeV. By using the
integrated luminosity projected for the Large Hadron Collider in the last stage
of operation, we estimated the number of events for this process. Moreover, we
analyze the SM background for the Higgs-photon associated production and found
that the $pp\to Z_H X \to \gamma H$ production is above the SM background.
