Barry Fenchak, who has publicly clashed with board leadership, was declared ineligible under new bylaws.
Carter's agent said he still believes the former Penn State star will be the No. 1 overall pick in the NFL Draft.
That's the second time McGloin quit his job this week.
"Penn State is thriving, and we will continue to do so. We have a legacy and mission of which we all can be proud."
The motion can be brought forth at future Faculty Senate meetings.
