The pair have been chosen to succeed former boss Dave Cooke, who recently left the club by mutual consent after over five years in charge.
Ritchie, 36, made over 40 appearances for the Dabbers during his first spell in 2009/10.
After a prolonged period playing across the football pyramid, he returned to the club in a player/coach capacity back in July.
He will be joined in the dugout by Taylor-Fletcher, who amassed over 500 career appearances and most notably featured over 200 times for Blackpool, helping them secure promotion to the Premier League during the 2009/10 season.
On the decision to appoint the duo, acting Nantwich Town chairman John Dunning said: “We have been overwhelmed by the quality of applicants and interest in the position.
"We are conscious of the importance of retaining the soul, locality, empathy and some of the key elements put in place over the past years that have seen us continue to develop in all areas and create more memorable and successful occasions, whilst remaining competitive at this level.
"In Ritchie we feel that we have a young enthusiastic, highly qualified manager, with a fresh outlook and ideas, and with a personal history, association and understanding of the club and its ideals and culture, but most importantly a shared vision and passion for our future ambitions and development.
"We are also delighted to have obtained the services of Gary Taylor-Fletcher, who is a highly respected and qualified coach.
The experience that Gary has gained in a distinguished playing career from non-league to the Premier League, along with taking Bangor City to the Europa League in his first managerial position, will be a great asset to the club."
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