The 18-year-old has worked his way through the youth ranks to becoming a first-team regular at Troyes, starting nine of his 16 Ligue 2 games so far this season.
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According to Foot Mercato, Man City are keen on signing Detourbet and have already had the winger visit their training complex.
Italian giants Roma were said to have made an offer of around €10 million in the summer but it was quickly turned down by Troyes.
As part of the City Football Group, it’s unlikely that Man City would have any issues signing the young winger in the near future.