We develop a reaction model for η photoproduction off the deuteron (γd → ηpn), and study the reaction at a special kinematics, where the photon beam energy is ∼ 0.94 GeV and the scattered proton is detected at ∼ 0 • , for the purpose of determining the η-nucleon scattering length (aηN ) and effective range (rηN ). In this kinematics, the η-nucleon elastic rescattering is significantly enhanced while other background mechanisms are suppressed. We show that a ratio R, the γd → ηpn cross section divided by the γp → ηp cross section convoluted with the proton momentum distribution in the deuteron, has a very good resolving power of aηN and rηN . We conclude that the R data with 5% error, binned in 1 MeV width of the η-neutron invariant mass, can determine Re [aηN ] (Re[rηN ]) at the precision of ∼ ±0.1 fm (∼ ±0.5 fm), significantly narrowing down the previously estimated ranges of the parameters. To arrive at the conclusion, it is essential to use the γd → ηpn reaction model equipped with elementary amplitudes that are well constrained by πN and γN reaction data through a sophisticated coupled-channels analysis. This result strongly motivates the Research Center for Electron Photon Science (ELPH) at Tohoku University to measure R.