The youngster has recently been linked with the likes of Arsenal, Chelsea, Inter Milan and Juventus.
Sky Sports reports that City have managed to lure the 16-year-old to the Etihad Stadium.
Ntcham have reportedly been in Manchester on Monday to hold talks with City over a move.
City will have to pay Le Havre a compensation fee for the youngster.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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