“Franck Passi will train the professional group this Friday.”
Henry has come under increasing pressure at the Ligue 1 side with results not improving since he took over from Leonardo Jardim in October in his first managerial role.
The club is in the midst of a four game winless streak, and have not won in five in the league, leaving them 19th in the table and three points from safety.
This week featured a pair of disastrous results for Henry and Monaco, with the club getting routed at home, 5-1, against Strasbourg on January 19.
Aside from the heavy defeat, Henry came under fire for comments made toward Strasbourg left-back Kenny Lala, as the manager insulted the defender’s grandmother.
While Henry apologised, a 3-1 home defeat to second-division side Metz in the Coupe de France on Tuesday inflicted further humiliation on his side.