His tenure as executive vice-chairman also saw the club experience a significant downturn in on-field performances, which have not improved since his departure.
Woodward is now on the Board of Trustees for the Bloomsbury Football Foundation.
He stated: "I am thrilled to be joining Bloomsbury Football Foundation as a Trustee.
"This is an exciting opportunity to join a charity that is already having a significant impact on the lives of young Londoners using the power of football.
"Visiting a Bloomsbury Football session reaffirmed my belief that football has the power to change lives.
"It is clear the support the charity is already receiving is making a real impact on the pitch. The session represented the diversity of London - the coaches were supportive, players were engaged, and they seemed to be enjoying every minute."