Members of Park's conservative party also gathered at her home.
Disgraced South Korean leader Park Geun-hye left the presidential Blue House on Sunday, two days after a court dismissed her over a corruption scandal, bound for her private home and facing the possibility of prosecution and jail.
Hwang's office could not immediately confirm the report, and calls to the presidential Blue House weren't answered.
"It will take time, but I believe the truth will be revealed", Park said through the spokesman. Prosecutors have said she conspired with a confidante to collect tens of millions of dollars from big businesses, and that some of the money represented bribes for political favors.
Moody's Investors Service said Park's impeachment was "credit positive" as it would allow a new president to focus on reforms to address "structural economic challenges amid growing domestic and external headwinds to growth". Opinion polls show the Democratic Party's Moon Jae-in, who lost to Park in 2012, as the favourite to become the country's next leader.
On Sunday, as the motorcade carrying Park arrived at the house where she lived from 1990 to 2013, it pulled past hundreds of supporters lining the alley and waving national flags.More news: Uber's testing with autonomous cars has been a little bumpy
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(File) A protester in a mask depicting South Korea's ousted leader Park Geun-hye wears shackles at a rally against Park in Seoul, South Korea, March 11, 2017.
"Protesting the constitutional court's decision is a betrayal of the people and betrayal of the constitution".
While no serious clashes between the two sides have erupted, three Park supporters died after angry clashes with police outside the court on Friday.
On Saturday, Park supporters rallied in central Seoul, vowing to start a political party to fight "pro-North Korea" leftists who they said conspired to bring down Park and calling the Constitutional Court ruling "sedition". Though a Korean prosecutor alleged that Park had knowledge of this - and she may well have - what is significant is that the impeachment was pushed through before the conclusion of the investigation.