"Emergency services were quickly on the scene and the Club would like to thank them for their prompt response and action," Wrexham said in a statement.
Midfielder Elliot Lee was rushed to hospital after the incident, which took place when he was driving home, his club said in a statement.
A Wrexham AFC footballer has been involved in a car crash after his side's cup game against Bolton Wanderers on Tuesday.
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The crash involved another car and the second driver is also in hospital being treated for their injuries.