  The results of the search for the $e^+e^-\to\eta^{\prime}\gamma$ process in
the center-of-mass energy range from 1.075 to 2 GeV are presented. We analyze
data with an integral luminosity of 746 pb$^{-1}$ accumulated with the SND
detector at the $e^+e^-$ collider VEPP-2000 in 2010--2024. The
$\eta^{\prime}\to\eta\pi^0\pi^0$ decay is used in the analysis, with the
subsequent $\eta$ and $\pi^0$ decays into $\gamma\gamma$. Upper limits not
exceeding 13 pb have been set on the $e^+e^-\to\eta^{\prime}\gamma$ cross
section at the 90\% confidence level.
