Supposedly this is something the Browns wanted to do for quite some time.
According the the NY Post, Condoleezza Rice is a Browns fan and rumored to have been a candidate for the job before. Browns GM John Dorsey is opened to hiring a female for the job.
Since her exit from the White House in 2009, she has been involved with sports as being part of the College Football Playoff Comittee and Commission on College Basketball.
Look what Browns fans and football fans in general are saying about the idea.