The left back missed England's two World Cup qualifiers and the Blues' 4-1 win over Cardiff City with a rib injury, and will now sit out their Champions League clash in Germany.
After missing England's matches against Montenegro and Poland, the left back remained in the UK on Monday as Chelsea's squad boarded its flight to Germany; however, Cole did take part in a morning training session and will hope to return in Sunday's Premier League game against title rival Manchester City.
Andre Schurrle was included in the Chelsea travelling party following his recovery from a muscle injury that ruled him out of the weekend victory over Cardiff City.
Aside from Cole and long-term absentee Marco van Ginkel, Chelsea is sporting a clean bill of health for the trip to Germany, where it will be hoping to pull itself level on points with Group E-leading Schalke, having bounced back from a matchday one defeat to Basel with a 4-0 win over Steaua Bucharest last time out.
Cole has made seven Premier League appearances for Jose Mourinho's men this season, as well as two in the Champions League.