Drogba has issued an apology for throwing a coin back into the crowd during their Carling Cup defeat by Championship side Burnley.
But he could still be subject to an investigation by the Football Association over the incident.
Drogba was handed a yellow card when he was seen throwing the coin back into the crowd after putting Chelsea in front in the 27th minute.
A spokesman for Chelsea said: "We will deal with this in the usual way.
"We are aware there is an incident. But we will not discuss it further until we have seen the referee's report."
"The referee gave him a yellow card but I did not see what happened."
He was also interviewed by police but no further action was taken.
However, Carragher was fined by the club and warned as to his future conduct.