Law Secretary Raza Khan said the government had filed an appeal in June against the decision by Swiss authorities to close the cases.
The decision to close the cases was made on February 4.
Khan said an appeal against the decision had to be filed within 10 days and their counsel had apprised them of the decision by Switzerland, Geo News channel reported.
In April 2010, Swiss Attorney General Daniel Zappelli said that since Zardari enjoyed immunity under international law by virtue of being President, Swiss courts could not entertain any request to reopen cases against him.
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Zardari, the first elected Pakistani President to complete his constitutional tenure and be replaced by another elected individual, had a long run-in with courts over the Swiss graft cases. He completed his term last month.
He faced an assertive judiciary that pursued him over the corruption cases. One casualty of the struggle was then Prime Minister Yusuf Raza Gilani, who was sacked for refusing to ask Switzerland to reopen the cases.
The then Pakistan People's Party-led government had initially refused to send a letter to Swiss authorities for reopening the cases. It had argued that since Zardari was the President, he enjoyed immunity.