Corporate Staff Listing is a roster of the people who hold company-wide positions in an organization, each one given by name and title.
What it means
In an organization, corporate describes a position held at the level of the company as a whole rather than at a single site, and a corporate staff listing collects those positions in one place.
A listing of this kind is a directory rather than a narrative: it records names and titles, and the title beside a name indicates what that person is responsible for within the organization.
What the catalog says
InterCoast Colleges’ catalog states this under “CORPORATE STAFF LISTING” (pp. 78–79).