On Tuesday, the club confirmed that the contract with the former United States national team midfielder has been terminated by mutual agreement, who will return to his homeland soon.
C.Reyna, whose pregnant wife has already returned to the USA, hopes to wear the shirt of the New York Red Bulls club.
In recent times, the player has been plagued by injuries - in his last match for the Man City team, the footballer played in December against the Tottenham club.
In 2003, the American midfielder was acquired by the Man City club for 2.5 million pounds sterling from the Sunderland team, where he played 77 league matches and scored 4 goals.
The midfielder's move to the Red Bulls club is associated with Bruce Arena, the former United States national team coach who currently leads the New York team.
C.Reyna, who has played 112 matches for the national team, retired from it after last year's World Cup, which was the third in the footballer's career.