The allegations emerged in October, but Park was immune from criminal prosecution as a sitting president until her removal from office on March 10.
The search attempt was blocked by presidential officials, who are arbitrarily delivering materials necessary for the ongoing investigation into the corruption scandal that led to former President Park Geun-hye's impeachment. Park will become South Korea's third arrested ex-president if the court greenlights the request.
The move comes after prosecutors grilled Park for 14 hours last week over suspicions that she colluded with a jailed confidante to extort from companies and committed other wrongdoing when she was in office.
If the court grants the arrest warrant, prosecutors will have up to 20 days to continue investigations, by which time they must file charges against her.
It could influence the upcoming presidential election scheduled for May 9.
Park, the country's first female president, is facing charges of bribery, abuse of power, coercion and leaking government secrets, according to South Korea's Yonhap News Agency. Park apologized publicly, but she was still impeached.
Even drunk Kapil Sharma allowed to fly, Sena defends MP in Parliament
The airlines have requested the government to form a rule to prepare a "no-fly" list so that a passenger can't challenge it. Please enter your email. "I never in my wildest dreams thought that an MP will get caught in such an incident", Raju said.
The Seoul Central District Court will hold a hearing on Thursday to determine whether to approve the requested arrest warrant, with a decision expected Friday.
Choi Soon-sil, Park's confidante, is already on trial for forcing top local firms to "donate" almost US$70 million to nonprofit foundations which she is alleged to have used for personal gain.
Lee Jae-yong, the de facto leader of the Samsung Group, was arrested and indicted on charges of giving bribes to Choi, and in effect to Park, in return for business favours.
The corruption scandal involving Park and her friend and close associate Choi Soon-sil erupted in October 2016, leading to Park's impeachment in December.
The court ruling was the culmination of months of political turmoil and public protest. Conservative supporters revere him as a hero who lifted a war-torn nation from poverty, while liberal critics remember him as a frightful human rights abuser who tortured and imprisoned his political rivals.