Fabregas and Cesar Azpilicueta hurried up the medical staff carrying a stretcher to Zouma after he was left unconscious following an accidental clash with Petr Cech against Derby.
Chelsea beat the Championship outfit 3-1 to progress to the semi-finals of the Capital One Cup.
And with Zouma left just groggy and not seriously injured, the Blues stars were able to joke about the bizarre situation.
"Through to the semis. @CesarAzpi and I had a double job tonight... #COC" Fabregas tweeted.
Happy for my 100th appearance in @chelseafc starting XI and the win, but even more because Kurt is in good condition! pic.twitter.com/ilobZypT9B
Azpilicueta also posted: "Happy for my 100th appearance in @chelseafc starting XI and the win, but even more because Kurt is in good condition!"
Jose Mourinho revealed after the game that Zouma was fine, suffering just dizziness and a cut in his mouth despite the nasty-looking clash with Cech.
And the Chelsea boss added that he had been informed that the stretcher-bearers at the ipro Stadium are not allowed by the regulations to run.
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