This paper investigates the search for long-lived dark scalars from exotic Higgs boson decays at the Future Circular Collider in its e+e- stage, FCC-ee, considering an integrated luminosity of 10.8 ab-1 collected during the ZH run at a center-of-mass energy s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sqrt{s} $$\end{document} = 240 GeV. The work considers Zh events where the Z boson decays leptonically and the Higgs boson h decays into two long-lived dark scalars s which further decay into bottom anti-bottom quark pairs. The analysis is performed using a parametrized simulation of the IDEA detector concept and targets dark scalar decays in the tracking volume, resulting in multiple displaced vertices in the final state. The sensitivity towards long-lived dark scalars at FCC-ee is estimated using an event selection requiring two opposite-charge, same-flavor leptons compatible with the Z boson, and at least two displaced vertices in the final state. The selection is seen to efficiently remove the Standard Model background, while retaining sensitivity for dark scalar masses between ms = 20 GeV and ms = 60 GeV and mean proper lifetimes c tau between approximately 10 mm and 10 m. The results show that the search strategy has potential to probe Higgs to dark scalar branching ratios as low as 10-4 for a mean proper lifetime c tau approximate to 1 m. The results provide the first sensitivity estimate for exotic Higgs decays at FCC-ee with the IDEA detector concept, using the common FCC framework.