The CP-violating phase $$\phi _s$$ ${\varphi }_s$ , the $$B_{s}$$ $B_s$ decay width ( $$\varGamma _s$$ ${\Gamma }_s$ ), and the $$B_{s}$$ $B_s$ decay width difference ( $$\varDelta \varGamma _s$$ $\Delta {\Gamma }_s$ ) are sensitive probes to new physics and can constrain the heavy quark expansion theory. The potential for the measurement at future Z factories is studied in this manuscript. It is found that operating at Tera-Z mode, the expected precision can reach: $$\sigma (\phi _s) = 4.6~\textrm{mrad}$$ $\sigma \left({\varphi }_s\right)=4.6\text{mrad}$ , $$\sigma (\varDelta \varGamma _s) = 2.4~\mathrm {ns^{-1}}$$ $\sigma \left(\Delta {\Gamma }_s\right)=2.4{\mathrm{ns}}^{-1}$ and $$\sigma (\varGamma _s) = 0.72~\mathrm {ns^{-1}}$$ $\sigma \left({\Gamma }_s\right)=0.72{\mathrm{ns}}^{-1}$ . The precision of $$\phi _s $$ ${\varphi }_s$ is 40% larger than the expected precision with the LHCb experiment at HL-LHC. If operating at 10-Tera-Z mode, the precision of $$\phi _s $$ ${\varphi }_s$ can be measured at 45% of the precision obtained from the LHCb experiment at HL-LHC. However, the measurement of $$\varGamma _s$$ ${\Gamma }_s$ and $$\varDelta \varGamma _s$$ $\Delta {\Gamma }_s$ cannot benefit from the excellent time resolution and tagging power of the future Z-factories. Only operating at 10-Tera-Z mode can the $$\varGamma _s$$ ${\Gamma }_s$ and $$\varDelta \varGamma _s$$ $\Delta {\Gamma }_s$ reach an 18% larger precision than the precision expected to be obtained from LHCb at HL-LHC. The control of penguin contamination at the future Z-factories is also discussed.