A few minutes later, he called back and apologized saying his comments were directed toward a man he had passed on the street.
The phone call is now at the center of an investigation.
City leaders said personnel privacy laws prevent them from sharing the details of their internal investigation, but Eyewitness News was told the worker's management staff and the personnel staff were looking into the incident.
Wright said she wants the city to take the matter seriously to make sure it did not happen again.
However, the calls for Wright haven't stopped. On Tuesday, she received a racially charged phone message from an unknown caller upset over the attention given to the case.