The left-back missed England's recent 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 World Cup qualifiers against Montenegro and Poland due to a rib injury, the left-back remained in the UK on Monday as Chelsea's squad boarded their flight to Germany.
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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 are sporting a clean bill of health for the trip to Germany, where they will be hoping to pull themselves level on points with Group E leaders Schalke, having bounced back from a matchday one defeat to Basel with a 4-0 win over Steaua Bucharest last time out.
Left-back Cole has made seven Premier League appearances for Jose Mourinho's men this season, as well as two in the Champions League.