I think that srunstro is correct here, at least according to the FAQ. (But sometimes the actual implementation does not agree with what is in the FAQ.)
Q. Do you have to have seasons remaining in order to view job openings?
A. Yes, you must have renewed by the deadline (which is 11:59 pm ET on the day of the National Championship game) in order be able to apply for other jobs. Of course, you could choose to not add a season - in that case you'll be removed as the head coach of your current school and you would be allowed to apply for jobs AFTER the job change period for existing coaches.
EDIT: It is actually not in the FAQ, but it is in the Knowledge Base
http://www.whatifsports.com/knowledgebase/KB_Article_Details.aspx?kbid=676