The 30-year-old initially left the club earlier this summer, but has failed to get a new club.
Cole returned to train with West Ham last month and has now agreed an initial three-month deal with the club.
Cole will be able to play against Manchester City this Saturday evening.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.