Using $(2712.4\pm 14.3)\times {10}^6\psi (3686)$ events collected by the BESIII detector operating at the BEPCII collider, the hadronic decay ${\eta }_c\to {\Sigma }^0\overline{{\Sigma }^0}$ is observed for the first time via the radiative transition from $\psi (3686)$. It is found that the branching fraction has a significant dependence on the interference pattern between $\etac$ and non-$\etac$ processes. They are determined to be $\displaystyle\mathcal{B}(\etac \to \SSB) = (2.59 \pm 0.14(stat) \pm 0.44(syst)) \times 10^{-3}$ and $(1.18\pm 0.12(stat)\pm 0.21(syst))\times {10}^{-3}$, for the destructive and constructive interference scenarios, respectively. No significant signal is observed for the decay $h_{c}\to\SSB$ in the hadronic transition $\psi(3686)\to\pi^0\hc$, and an upper limit on its branching fraction is set to be $1.02\times {10}^{-4}$ at the 90% confidence level.