The 25-year-old woman was standing in the parade route when she was hit by the 18 square inch drone, according to the city's website.
An off-duty firefighter helped treat the woman, whose boyfriend caught her when she fell, at the scene, the statement said.
The extent of her injuries from the drone, which weighed about 2 pounds and was estimated to cost $1,200, was not immediately known.
Police were looking to speak to an unshaven man in his 20s wearing sunglasses a baseball cap and cut-off pants. The information was based on photographs provided by the victim's friends.
According to the city, he also had a tattoo of a woman.