Police said the female officer was attempting to take documentation from a female driver in the 6300-block of South Vernon Avenue when the driver rolled up their window. The officer's arm became stuck in the window.
The driver then took off and dragged the officer a few feet, police said. The driver then fled in an unknown direction.
Police said the officer was taken to a hospital in good condition with non-life-threatening injuries.
The vehicle is described as a dark-colored Jeep Grand Cherokee. No further details were immediately available.