The Herald newspaper said long-serving national cricket team manager Mohammed Meman and national team players Vusi Sibanda and Waddington Mwayenga were arrested on Saturday.
"Sources within Zimbabwe Cricket said last night they had been informed that the police were also interested in questioning at least six more players over their offshore foreign currency accounts and transactions," Monday's newspaper said.
The paper said the arrests followed investigations by Zimbabwe's central bank into the cricket league's financial affairs.
Problems at Zimbabwe Cricket led to the resignation two weeks ago of national team captain Tatenda Taibu.
Taibu and other national players had earlier teamed up with the country's seven provincial chairmen in a bid to have national chairman Peter Chingoka sacked and the ZC managing director Osias Bvute suspended pending an investigation into the financial activities of the cricket body.
Zimbabwe cricket has been in crisis ever since and their performances have been so poor that both England and Australia have refused to play Test matches against them.