Summary: The effects of dimension-eight operators giving rise to anomalous neutral triple gauge boson interactions of \(Z\gamma\gamma\; \text{and}\; Z\gamma Z\) vertices in \(p p \rightarrow l^- l^+ \gamma\; \text{and}\; p p \rightarrow \nu \overline{\nu} \gamma\) are investigated at 100 TeV center of mass energy of future circular hadron collider (FCC-hh). The transverse momentum of photon, invariant mass of \(l^- l^+ \gamma\) and angular distribution of charged lepton in the rest frame of \(l^- l^+\) and Missing Energy Transverse (MET) are considered in the analysis. The realistic detector effects are also included with Delphes simulation. Sensitivity limits obtained at 95% C.L. for \(C_{\widetilde{B} W} / \Lambda^4\; \text{and}\; C_{B B} / \Lambda^4\) couplings are \([- 0.52; 0.52]([- 0.40; 0.40])\mathrm{TeV}^{-4},\; [- 0.43; 0.43]([- 0.33; 0.33])\; \mathrm{TeV}^{-4}\) in the dilepton+photon channel and \([- 0.11; 0.11]([- 0.084; 0.084])\; \mathrm{TeV}^{-4},\; [- 0.092; 0.092]([- 0.072; 0.072]):\mathrm{TeV}^{-4}\) in the MET+photon channel with \(L_{i n t} = 1\; (3) \mathrm{ab}^{-1}\), respectively.