The 33-year-old man was crossing Burman Road, Wath-upon-Dearne at around 5pm on November 26, when he was clipped by a blue Volkswagen Polo.
Two men then reportedly got out of the car and attacked the man, driving away when a passer-by intervened.
The victim was taken to Rotherham Hospital, where he has been treated for head and facial injuries.
Police are appealing for witnesses and dashcam footage of the incident.
“We are particularly keen to hear from anyone who captured a blue Volkswagen Polo on their dashcam or CCTV,” said a spokesperson.
“If you can help, please call 101 quoting incident number 678 of November 26.
“You can also email footage through to firstname.lastname@example.org with the incident number as your subject title.
“Alternatively, you can stay completely anonymous by contacting the independent charity Crimestoppers via their website Crimestoppers-uk.org or by calling their UK Contact Centre on 0800 555 111.”