McClean walked away with minor injuries after crashing his car on the way to training earlier this week.
Fog and ice caused McClean to lose control of his black Audi and go off road near Wrexham Golf Club.
The winger was cut and bruised but still started in a League One clash against Birmingham City on Thursday.
Wrexham carried out medical tests and cleared McClean to captain the former non-League side.
Following the 1-1 draw, the 35-year-old revealed his damaged car alongside a statement on Instagram.
READ MORE ABOUT WREXHAM
Forgotten Villa kid who trained with Messi is now hurting Ryan Reynolds' Wrexham dream
Wrexham star has X-rated outburst in deleted scene of new Deadpool and Wolverine leaked
He posted: "Now that the game is out of the way, to address yesterday. An experience I never wish to encounter again, I am blessed and thankful I managed to walk away with minor injuries and return home to my family.
"Though much to the disappointment of some smelly scruffy pathetic creatures that messaged my wife online, thank you for the messages of support."
In a statement, North Wales Police said: "Shortly before 9am this morning (Wednesday, January 22), we received a report of a single vehicle road traffic collision on the A534 in Wrexham, near to Wrexham Golf Club."
"Officers and colleagues from the North Wales Fire and Rescue Service attended the incident, which had blocked the road until the vehicle was recovered shortly before 10am. 'No serious injuries were reported from the scene."
Most read in Football
Saudi to bid for Duran, West Ham discuss Brobbey, Arteta on Arsenal signings
Inside Old Trafford chaos as new fan footage shows Man United and Rangers fans clashing
Plymouth accept Morgan Whittaker bid from Championship rival days after he refused to play
Adam takes controversial Premier League job a month after Fleetwood sacking
Social media platforms are frequent places for the criticism and hate of McClean as shown by reactions from the match against Shrewsbury Town last week.
Full-time scenes at New Meadow showed the ex-Sunderland star trying to confront the home supporters, before being stopped by security.
He subsequently took to his Instagram story where he fired a shocking insult as he responded to the viral clip.
The former Stoke man said: "In fairness if I was born and raised in Shrewsbury, I'd probably be this angry as well cause it's an absolute cesspit full of inbreds."
The 35-year-old has developed a reputation as one of football's most prolific antagonists during his 13-year career in English football.
McClean is often subjected to abuse in England for his decision not to wear a poppy around Remembrance Sunday, citing the British army's actions in his native Derry.
Former Premier League winger James McClean calls current club Wrexham 'the most exciting project in football under owners Ryan Reynolds and Rob McElhenney
Wrexham are next in action against Stevenage on Tuesday.
Birmingham continue their stretch of first in League One while Wrexham are in third, five points behind.
The Welsh club are in good stead for a third consecutive promotion but they are yet to earn back-to-back wins in 2025.