The animal cruelty charge alleges Parker used his car as a deadly weapon.
Security video allegedly shows Parker running over the dog in a Hawthorne alley on December 28.
Parker took a 5-year-old Chihuahua named "Cow Cow" to an alley near El Segundo Boulevard and Doty Avenue, backed up his vehicle, then accelerated rapidly and steered directly toward the dog, prosecutors allege.
A nearby resident found the dog and put its body in a bag, according to Hawthorne Police, who said they later tracked down surveillance video capturing the crime.
Parker allegedly took another of his ex-wife's dogs, but that dog escaped and survived.
If convicted on all counts Parker faces a possible sentence of five years in state prison.
