In this paper, we present a detailed investigation of the laser cooling and trapping of the Zn atom, and various schemes employing the ${^{1}S}_{0}\text{\ensuremath{-}}{^{3}P}_{0}$ transition, induced by nuclear magnetic moment or applied fields, as the clock transition. Using numerical simulations, the deceleration of Zn by a Zeeman slower and its capture by a magneto-optical trap (MOT) are analyzed, and the corresponding parameters are determined. The linear loss rate and the coefficient for two-body collisional loss in the MOT are discussed. To prove the feasibility of the intercombination line cooling, one-dimensional semiclassical Monte Carlo simulations are performed. Multiconfiguration Hartree-Fock and multiconfiguration Dirac-Fock approaches are employed to calculate the hyperfine-induced ${^{1}S}_{0}\text{\ensuremath{-}}{^{3}P}_{0}$ transition. Up to now, various schemes inducing the ${^{1}S}_{0}\text{\ensuremath{-}}{^{3}P}_{0}$ transition in bosonic isotopes have been proposed for alkaline-earth-metal atoms and Yb. Their applicability for Zn are investigated, and the corresponding parameters of Zn are calculated. Our results show that the Zn atom, either fermionic or bosonic, is a potential candidate for the quantum absorber used in laser-cooled neutral atomic optical frequency standard.