The 30-year-old made 20 league starts for the French side during the 2011/12 campaign, scoring four goals as Lille finished third in Ligue 1.
In total he played 42 games for the French side scoring 9 goals and notching up 3 assists.
The French club are keen to keep him at the Stade Lille-Metropole, particularly after Eden Hazard announced his transfer to Chelsea on Monday, but Cole has indicated he would relish the chance to have a second chance under a new manager at Liverpool.
“I would love the chance, if they wanted to, to put it right,” he told Sky Sports News.
“I don’t want that on my career. I’ve been a success at West Ham, a success at Chelsea, and come to another country in France and had a good season.
“It’s just that season at Liverpool. It’s in their hands. I’m easy whatever way but the fire still burns with me and I would love to have the chance put it right if that’s what they wanted.”
“Kenny was a good guy – he didn’t lie to me. I wasn’t in his plans,” the player added.
“It [Dalglish's departure] just changes my future. Whereas it was quite clear before Kenny got the sack that I wouldn’t be going back there, who knows what will happen now? I’m just waiting on some kind of information.”
The 27-year-old spent last season on-loan at AC Milan and the Italian club want to sign the midfielder on a permanent deal. But the Serie A side believe Liverpool’s £7m asking price is too much for a player who has made just 18 league appearances since a £17m move in 2009, reports Italian TV station Mediaset.
However according to another report from fansfc.com Alberto Aquilani could be heading to Fiorentina during the summer. While spending time on-loan in Italy Aquilani almost sealed a permanent transfer to Fiorentina last year. Agent Franco Zavaglia blamed sporting director Pantaleo Corvino for this, but now he has been replaced at Viola by Eduardo Macia and Daniele Prade, the move could be back on.
“The new directors Eduardo Macia and Prade respect Alberto a great deal and we’re waiting to talk to Liverpool,” Zavaglia told Radio Blu.
“We’ll see what happens. He said no to Fiorentina last year because of Pantaleo Corvino, but with Prade it would be another matter.”
“We’ll have to wait and see what happens when it comes to my future,” Aquilani said earlier this month. “The door is semi-open for me to stay here.”
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