The 31-year-old reacted angrily to the release of the report into the John Terry racism scandal and launched a vulgar tirade of abuse towards English football's governing body also implying they called him a liar following his evidence in the case.
Cole wrote on his Twitter account: "Hahahahaa, well done #fa I lied did I, #BUNCHOFT****." He later deleted the comment.
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Following the Blues' 4-1 win over Norwich, Di Matteo revealed that the left-back will face punishment for his outspoken comments and revealed he has no issue with players using social media despite Cole's actions.
He told reporters: "We have a social media policy and there will be disciplinary action against Ashley Cole for his tweet yesterday.
"I'm not against social media. It's the world we live in. When it's used sensibly it's not a problem.”
Cole later apologised for his rant against the FA claiming he was upset at the time and reacted without thinking due to his anger at the incident.
He said: "I was really upset and tweeted my feelings in the heat of the moment. I apologise unreservedly for my comment about the FA."
Despite his tirade Cole was assured of his place in the England squad for this month's World Cup qualifiers against San Marino and Poland after having talks with boss Roy Hodgson.