Park, who was dismissed by the Constitutional Court last Friday, will be required to attend a prosecutors' office in Seoul next Tuesday, a spokesman said.
"We have sent the order... To Park's lawyer this morning. The summons date is 9:30 am (local time) on March 21," he said in a statement.
Park, a criminal suspect in the scandal, had repeatedly refused to make herself available for questioning by the prosecutors before the country's highest court confirmed a parliamentary impeachment motion against her.
Park's lawyer said Wednesday she would "cooperate" with the probe.
She is set to become the fourth former South Korean leader to be questioned by prosecutors over corruption scandals.
Two former army-backed leaders who ruled in the 1980s and the early 1990s -- Chun Doo-Hwan and Roh Tae-Woo -- both served jail terms for bribery after they retired.
Another ex-president, Roh Moo-Hyun, killed himself by jumping off a cliff in 2009 after being questioned by prosecutors over suspected bribery.
Choi is accused of using her presidential ties to force local firms including Samsung to "donate" nearly $70 million to non-profit foundations she allegedly used for personal gain.
Park -- the 65-year-old daughter of the late former strongman Park Chung-Hee -- has been named as Choi's accomplice who helped her extract money from the firms.
The scandal that rocked the nation has also seen the heir to electronics giant Samsung, Lee Jae-Yong, arrested and charged with bribery for offering millions of dollars to Choi in return for policy favours from Park.
Park voiced defiance over the court ruling, saying "the truth will eventually be revealed" through her spokesman after returning to her private home on Sunday.
The ouster of Park -- who had commanded a huge following among older, conservative South Koreans who benefited from the rapid growth under her father's 1961-79 rule -- has sparked angry, sometimes violent protests by her supporters.
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