The Herald newspaper said long-serving national cricket team manager Mohammed Meman was fined one million dollars (13 US dollars, 11 euros) and national team players Vusi Sibanda, 800,000 dollars and Waddington Mwayenga 400,000 dollars.
The three were arrested Saturday last week following investigations by Zimbabwe's central bank into Zimbabwe Cricket (ZC)'s financial affairs.
"The three pleaded guilty to breaching the country's exchange control regulations when they were initially arraigned before the court," The Herald said on Saturday.
The newspaper said the cricket players and official worked for ZC and were entitled to marketing and match fees in foreign currency each time they travelled on national duty.
In July last year, the cricket league informed Meman it was holding on to 6,750 US dollars in marketing and match fees due to him, the newspaper said.
Meman instructed ZC to deposit the money into his offshore account in Britain without informing the central bank as required under Zimbabwean law.
In September this year, Mwayera instructed ZC to deposit 182 US dollars due to him in marketing and match fees into Meman's British account.
Sibanda instructed the cricket union some time last year to deposit money that was due to him into team captain Tatenda Taibu's offshore account in Britain.
Both of them did not seek authority from the central bank.
Zimbabwean cricket has been mired in problems, which led to the resignation three weeks ago of national team captain 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.