The crash was reported just after 7:50 p.m. in front of the department store in the 7700 block of Edinger Avenue.
Police said officers saw the driver flee the scene in a red truck, prompting a pursuit. The chase ended a short distance from the crash site after officers performed a PIT maneuver to stop the vehicle, police said.
The damaged truck apparently took down a light pole and came to a stop on the sidewalk.
Three people hurt in the crash were hospitalized with injuries that are not life-threatening, police said. One victim was performing with a group of singers in front of the Kohl's at the time the truck plowed into them.
"A truck drove up onto the curb, stopped, and some of the spectators watching us perform saw the truck and said 'hey get out of here,'" said Chris Ring, who was singing with the group.
"The truck accelerated and drove toward us and struck one of our singers, and carried our singer straight through the front doors and into the store," Ring told Eyewitness News.
Police arrested a male driver who they believe was driving under the influence.
An investigation is ongoing.