The pastor should have no input. This matter is best left to the board of directors.
Now, what happens when a director should be hired/fired? Hopefully there is something in the church's charter to control this. If not, the board should create an independent committee to make a recommendation.
Basically, the pastor should be held in the highest honor and rise above any petty political situation. Keep the pastor out of it.
Sounds like Mandrake needs to change churches.
You're confusing the religious guidance of the soul with the secular reality of operating an organization. The Bible has nothing to do with it. If the pastor cannot work effectively with his or her staff, then either the staff or the pastor has to go. I've seen and heard a lot of very effective secretaries and administrative assistants; not so many effective pastors.