Garry Monk will not recall striker Michu to Swansea when Wilfried Bony goes to play in the Africa Cup of Nations.
Celtic have announced captain Scott Brown has signed a new contract with the Scottish champions.
Cole, 32, who joined the Blues seven years ago from London rivals Arsenal, signed a one-year contract extension in January.
But with the England star's deal expiring at the end of the current campaign, he now plans on ending his career at the club.
"I signed an extension at the start of the year and so have this year left," Cole told The Sun.
"However, that will be up at the end of the season.
"I hope to stay for longer.
"I have had a great time here, a great career here and, of course, I'd love to stay if they still want me.
"There is going to be a time when they will have to replace me.
"I have Ryan Bertrand in my place and one day I'm going to want to watch him play, so the time will come when I will finish my career."