Applying for a full-time faculty position
An adjunct instructor of four years here at the same University.
Context: Earlier in the semester, the chair of my department left to take a promotion elsewhere when he left he went to the dean and referred me for a full-time position. I had a very positive meeting with the dean who expressed that right now there was not an opening, but used language to suggest that when an opening did come up for a full-time position that I would be considered for it.
Earlier this week, the university posted a full-time position in my department, and I also have a good working relationship with the new chair of the department.
My question here is it acceptable to put the chair person of the department as a reference here as they may be the person hiring or interviewing me? Would it make sense emailing them that I am interviewing for this position?