The prospects to study hyperon-nucleus/nucleon interactions at BESIII and similar e+e-colliders are analyzed in this paper. Utilizing the large quantity of hyperons produced by the decay of 10 billion J/ψand 2.7 billion ψ(3686)collected at BESIII, the cross sections of several specific elastic and inelastic hyperon-nucleus reactions can be measured via scattering between hyperons and nucleus in the dense objects of the BESIII detector. Subsequently, the cross sections of the corresponding hyperon-nucleon interactions can be extracted from further phenomenological calculations. The interactions between antihyperons and nucleus/nucleon, including scattering and annihilation, can also be studied using the method proposed in this study. The results will definitely benefit the realization of precise probes for hyperon-nuclei/nucleus interactions and establish constraints to study the potential of strong interaction, the origin of color confinement, a unified model for baryon-baryon interactions, and the internal structure of neutron stars. In addition, the desirable prospects of corresponding studies in the future Super TauCharm Factory(STCF) are discussed and estimated in this study.