The 18-year-old reached an agreement with Pep Guardiola's side on Monday.
Baah's contract with his current club Rochdale- in League One-expires at the end of the season.
His pre-contract agreement with City will see Rochdale to receive a fee.
Baah is expected to be loaned out next season to him to continue his development.
The Stuttgart-born has scored three goals in 14 appearances for Brian Barry-Murphy’s side in League One so far. Read Full Story
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