"The government of Zimbabwe is gazetting a three-month moratorium within which those involved in the malpractice can bring back the funds and assets, with no questions being asked or charges preferred against them," Emmerson Mnangagwa said in a statement.
The amnesty period will run from December 1.
"Upon expiry of the three-month window, the government will proceed to effect arrest of all those who would not have complied with this directive and will ensure that they are prosecuted in terms of the country's laws," he said.
The military operation which saw tanks rolling down the street and culminated in Mugabe's resignation, helped unearth "cases where huge sums of money and other assets were illegally externalised by certain individuals and corporates," he said.
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"Such malpractices constitute a very serious economic crime against the people of Zimbabwe which the government of Zimbabwe will never condone."
Zimbabwe is facing a perennial liquidity crunch which has worsened in recent months leaving banks with little or no cash.
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