According to Greceanîi, the immediate focus of her Cabinet would on "freedom of the media, an active dialogue with civil society and an independent judiciary".

[10] Greceanîi resigned on 9 September 2009, saying she was unable to simultaneously hold the posts of prime minister and member of parliament at the same time.

[11][12][13] In the investigation of the events of 7 April Zinaida Greceanîi, who has remained in history by her statement, when she begged the country's "mothers" to keep their children at home, because of the weapons that had to be used.

[16] In autumn 2011, Zianida Greceanîi, together with Igor Dodon, left PCRM[17] and joined the Party of Socialists (PSRM) led by Veronica Abramciuc.

Zinaida Greceanîi and Igor Dodon were involved in a collusive import scheme of the electricity and became subject to a complaint filed to the Prosecutor General's Office.

First Deputy Prime Minister Igor Dodon announced the new price as a "remarkable success", reasoning that, initially, the Ukrainian side demanded a 50% increase.

However, the Chișinău corridors were talking about the fact that the price increase was made for the benefit of a company registered in Hungary behind which would be persons delegated by the leadership of Moldova and Ukraine.

[23][24] In 2008, Zinaida Greceanîi, was Minister of Finance, and her husband, Alexei, was the member of the Board of Directors of Vin Cojusna Factory, a company that took a credit from Banca de Economii (BEM) in the amount of 1.63 million Euro and US$500,000.

The most precious batch auctioned is the Cojusna Wine Factory that came to court after Alexei Greceanîi, the husband of the former prime minister and the current Socialist leader Zinaida Greceanii, has not returned tens of millions of MDL.

[26] On 15 July 2019, the PL leader, Dorin Chirtoacă, presented several documents according to which it was shown that Zinaida Greceanii was involved in getting BEM's credits, which were not returned.

[27] He asked Zinaida Greceanii to resign from her position of President of the Moldovan Parliament, accusing her of implication in bank fraud.

[28] Before the parliamentary elections of 28 November 2010, the Civic Initiative for a Clean Parliament, which drew up a list of the candidates with integrity issues, noted that because of the Minister of Finance, Zinaida Greceanîi Moldova was convicted to the European Court of Human Rights in the case of "Offer Plus" Company, which led the state to pay damages and outstanding debts to the company in the amount of 2.5 million Euro.