The experienced ex-police officer will become the club’s chief executive.
Chesterfield won their first game in 19 attempts on Saturday when they beat Salford City 2-0.
Bean arrives at a crucial stage and said: “I am delighted to be joining in such an important role.
“This is a good club and hopefully together we can move it forward.
“I believe that I have some unique credentials because not only have I worked in senior roles within professional clubs and understand the workings of a club, but I have also had a spell as national chairman of the Football Supporters Association.
“During that time I was involved in supporter-led campaigns and so I can fully understand and resonate with the frustrations that supporters of the club are currently experiencing.
“Indeed, I owe my time in the supporter representation world to my progression in the game and so will always look to embrace the views of supporters.
“I do intend to look to improve the communication between the fans and the club but directors, staff and supporters can also be assured that I will use my best endeavours to improve all aspects of club life.”