Prosecutors say Giampietro Manenti was part of a failed credit card hacking scam using stolen or cloned cards.
He is one of 22 people arrested across Italy in an alleged bid to fraudulently obtain about 4.5m euros (£3.24m).
Parma face being wound up due to crippling financial debts and have already been docked points for failing to pay their players.
Manenti took over as Parma’s new owner and president last month, agreeing to pay off the club’s debts, which are estimated at nearly 100m euros (£72.4m).
He was due to attend a bankruptcy hearing on Thursday.
Prosecutors say Manenti could have disguised the money involved in the failed scam as revenue from sponsorships or gadget purchases.
It was allegedly foiled before any transfers to Parma accounts took place.