United reserve Mads Timm was sentenced to 12 months in a young offenders' institution, a court spokeswoman said, for taking part in the car chase following a training session in January last year.
The 20-year-old Dane, who has played for his country at youth level and joined Manchester United in 2001, had denied a charge of dangerous driving.
Callum Flanagan, who left Manchester United shortly after the accident, was sent to a young offenders' institution for eight months after admitting the charges against him.
Described by the prosecution as a "boy racer", Flanagan had been following Timm but lost control on a bend and collided with another car, injuring its driver.
Team mate Philip Marsh, a passenger in Flanagan's car, was also injured and had to be cut from the wreckage.
A Manchester United spokeswoman declined to comment on the sentences.
Arsenal midfielder Jermaine Pennant was jailed for three months this week for drink-driving while banned after police caught him at the wheel of a Mercedes sports car with a lamp-post dragging underneath.
West Bromwich Albion striker Lee Hughes received a six-year prison sentence last August after being found guilty of killing a man in a hit-and-run crash.
