But it was a two-way conversation.
Within days, Gerrard had confirmed that he was as staying at Anfield.
And Cole, 28, said: "I hope that I did play a part in Stevie deciding to stay here.
"Every year the big clubs have come calling for him because he is a fantastic player, but at Liverpool this year it is about consolidating and moving on. There are players here who will get into any team in the world - and Stevie is one of those.
"Stevie and Jamie Carragher spoke to me a lot when I was deciding which club to join because they both know what I can do.
"We have played together for England for the last 10 years and one of the reasons I came to Liverpool was to play alongside Stevie week in week out.
"I hope to have a central role, with one of us going forward and the other pivoting, but the manager will use me how he sees fit and obviously he knows I can play left and right."