Rigg, who joined The FA a year ago, will be moving back to the capital in the New Year to take up a position as Chief Football Officer at Craven Cottage.
Working alongside The FA's Director of Elite Development Dan Ashworth, Rigg has developed The FA’s scouting and talent identification infrastructure and contributed to the recently launched England DNA document, detailing the future philosophy of all England teams.
Rigg said: “Over the last 12 months I have been fortunate to work with some of the most inspirational and talented people in football that I have experienced over the last 25 years.
“I believe and know that The FA – under Dan and Gareth Southgate’s leadership – is on the right path with its plans and philosophy.
“I genuinely wish them and all of my friends at St. George’s Park and Wembley the best of luck going forward. They can count on my support in my new role at Fulham.”
Ashworth added: “We are really sorry to see Mike go but we totally understand his reasons.
"It was always likely he would move back into club football at some stage, as this type of role becomes increasingly common within the game.
“Mike has played a huge part in the transformation of the way in which we work in talent identification and helped build and shape a department that looks after both the male and female game.
“I would like to place on record my thanks for all of his hard work and support and wish him well in his new role at Fulham.”