  Using the Li\`{e}ge intranuclear-cascade model together with the ablation
model ABLA, an investigation is conducted into the effects of $\Lambda$
potential in $\Lambda$-nucleus and $\Lambda$-hypernucleus-nucleus collisions
across various beam energies. The findings show that the angle and
transverse-momentum distributions of scattered $\Lambda$ hyperon, the
scattering cross section of the $\Lambda$ hyperon in $\Lambda$-nucleus
collisions as well as the rapidity distribution of $\Lambda$ hyperon in
$\Lambda$-hypernucleus-nucleus collisions are significantly influenced by the
strength of the $\Lambda$ potential in these scattering reactions across
various beam energies. These demonstrations, unhindered by the uncertainties of
$\Lambda$ and hypernuclei productions in nuclear medium, allow for a direct
investigation of the $\Lambda$ potential, especially its momentum dependence.
The criticality of probing the $\Lambda$ potential is closely associated with
the resolution of the "hyperon puzzle" in neutron stars.
