Coventry are holding a full investigation into the crowd disturbance which marred Saturday's 2-0 victory over Derby.
City Supporters, protesting against the way the club is being run by owners SISU, clashed in the stands with police and stewards during the first half at the Ricoh Arena.
Coventry chief executive Paul Clouting told the club's official website: "No-one wants to see the scenes which we witnessed on Saturday. We want to discover exactly what sparked the incident, how it was dealt with and to ensure it cannot happen again."
He added: "The safety and enjoyment of our supporters is our number one concern. We work very closely with all parties in this and want supporters visiting the Arena to enjoy their experience.
"Coventry City has a very good reputation as a friendly, family club and Saturday's incidents saddened everyone."
Coventry fans also protested against the club's owners before and during the previous home game against Watford, unveiling a banner reading 'SISU out' prior to it being confiscated by stewards.
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