Park has been engulfed in allegations of influence peddling and claims that tens of millions of dollars have changed hands, sparking widespread anger across South Korea and bringing hundreds of thousands of protesters onto the streets demanding her ouster.
"I will leave the issue of my departure, including the (possible) reduction of my term in office, to a decision by the National Assembly", she said in a speech carried live on television.
Park's presidency has gone into a tailspin, with accusations that Choi Soon-Sil -- a secretive confidante dubbed "Korea's Rasputin" -- elicited more than USD 60 million in payments from some of the country's top firms, including Samsung.
Park has been named as a suspect in the growing investigation, making her the first sitting president to be subject to a criminal probe while in office.
While she retains the presidency, she cannot be charged with a criminal offence except insurrection or treason, but she could be charged once she steps down.
Park's latest remarks are a possible bid to de-fang that effort, critics say, with the president hoping that she can cut a deal that would avoid -- or lessen -- formal sanctions.
But opponents today rubbished her offer.
"Our stance to seek Park's impeachment remains unchanged," Choo Mi-Ae, leader of the main opposition Democratic Party, said, describing Park's remarks as "a trick" designed to distract attention.
Three opposition parties, which jointly hold 55 percent of seats in parliament, and some members of Park's party are seeking to collect a two thirds of total votes to pass the bill as early as Friday.
But the impeachment would not be finalised until the Constitutional Court approves it -- a process that could takes six months.
Massive weekly protests have intensified over the past month, with up to 1.5 million people braving freezing temperatures in Seoul Saturday to demand Park's resignation, according to organisers.
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