Artin groups generalize braid groups and are closely related to Coxeter groups, yet their structure and geometry remain less well understood. A recent geometric approach by Cumplido, Martin, and Vaskou has provided new insights into the structure of parabolic subgroups of large-type Artin groups. The central tool in this study is the Artin complex?a simplicial complex on which the Artin group acts cocompactly and without inversions, with parabolic subgroups appearing as stabilizers of simplices. For large-type Artin groups on at least three generators, the associated Artin complex admits a systolic geometry, which provides a powerful framework for understanding parabolic subgroups. We establish that parabolic subgroups are closed under arbitrary intersections, form a lattice with respect to inclusion, and we describe their normalizers. As an application, we can solve the conjugacy stability problem for parabolic subgroups of large-type Artin groups and show that they are stable under taking roots.