"He is very committed, very professional, and is integrating very quickly.
He is a very simple and modest character so we have all taken to him straight away," said left-back Beria at a press conference at the club's training base just outside the city.
"(Cole) is still a charismatic guy, all you need to do is look at his past, the career he has had, the trophies he has won.
"He is still hungry and is really keen to relaunch his career. He is going to bring a lot to the team."
Cole, 29, has won three English Premier League titles with Chelsea but endured a disappointing 2010/11 season after moving to Liverpool, where he started just nine games.
The London-born midfielder has won 56 caps for England, but has not represented his country since last year's World Cup.
He joined Lille on a season-long loan on transfer deadline day.