  We employ the low energy Minimal Supersymmetric Standard Model (MSSM) to
explore the parameter space associated with $Z$-pole and Higgs-pole solutions.
Such parameter spaces can not only saturate the cold dark matter relic density
bound within 5$\sigma$ set by the Planck 2018, but also satisfy the other
standard collider mass bounds and B-physics bounds. In particular, we show that
the right-handed selectron can be light. Thus, we propose a search for the
relatively heavier right-handed selectron at the future lepton colliders with
the center-of-mass energy $\sqrt{s}=240$ GeV and integrated luminosity 3000
$\rm{fb^{-1}}$ via mono-photon channel: $e^{+}_{R} e^{-}_{R}\rightarrow {\tilde
\chi_{1}^{0}(bino)}+{\tilde \chi_{1}^{0}(bino)}+{\gamma}$. We show that for the
$Z$-pole case the right-handed selectron will be excluded up to 180 GeV and 210
GeV respectively at 3$\sigma$ and 2$\sigma$, while the right-handed selectron
will be excluded up to 140 GeV and 180 GeV respectively at 3$\sigma$ and
2$\sigma$ in case of Higgs-pole.
