Detectives said officers are working with Manchester City Football club to identify who threw a coin at Rio Ferdinand.
Charges of those arrested included a racially aggravated public order, pitch encroachment, public order, breach of a football banning order and being drunk and disorderly.
Chief Inspector Steve Howard said: "Despite fierce rivalry and high tension there was no major disorder. However, we will continue to investigate the coin throwing incident and are determined to work with the club to bring the perpetrator to justice."
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The Crown Prosecution Service is to announce its decision later on whether individuals and organisations will face criminal charges.