The appeal filed Wednesday argues that a criminal court judge erred last month when he dismissed two counts filed under California's 2010 anti-paparazzi law against Paul Raef, a freelance photographer.
Superior Court Judge Thomas Rubinson ruled the statute was overly broad and violated the First Amendment.
The appeal claims the ruling could set a precedent that news gatherers can engage in reckless driving without facing stiff penalties.
The law targeted those found guilty of unsafe driving in pursuit of a photo for commercial use.
Raef still faces traditional reckless driving charges for the July chase involving Bieber on a freeway.