No, not if there's an active independent PTO. The principal can recommend someone for a job, but officers must be elected by the members.
         - Craig
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        What if the PTO is not independent and works under the schools EIN?
         - jazzie1973
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        Hi jazzie1973, 
If that's the case then the school administration does have more say. You want to have a good working relationship with the administrator, anyway, so try reaching out and having a discussion about this appointment. Look for the positive in working with this person. 
Rose
         - Rose H
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