Chilwell was handed his senior debut by Ranieri earlier in the season, during Leicester’s match against Hull City in the Capital One Cup.
Although Leicester lost that fixture, Ranieri still has very high hopes for the England youth international.
Chilwell is currently on loan at Huddersfield Town, and his form in the Championship has caught the eye.
The 19-year-old has played seven times for the Terriers, and he has helped them up the Championship table.
His impressive performances have not gone unnoticed, with a host of Premier League clubs now chasing his signature.
Liverpool and Tottenham Hotspur are said to be interested in the youngster by the Mail, but Ranieri is understandably keen to keep hold of the academy graduate, who he has very high hopes for in the future.