The Ducale club are scheduled to play on Sunday in Genoa but the Gialloblu players do not intend to fulfil the fixture.
Parma are on the brink of bankruptcy and have not paid their players and staff since the summer. Last weekend’s home game against Udinese was postponed due to a lack of finance.
“We will not play in Genoa,” Lucarelli told his club’s official website. “We have requested for the game to be postponed.
“If they don’t grant us that, then we will go on strike and we will be given a 3-0 defeat.”
Earlier on Friday, the cash-strapped club had reportedly signed a 20,000 euro one-match deal with an unnamed sponsor that would cover this weekend’s transfer costs.
Moreover, the Italian Football League, Lega Serie A, have reportedly given financial guarantees that the Ducale club will complete the 2014-15 season.
Parma’s new owner Giampietro Manenti has so far failed to provide the resources to sustain the cash-strapped club.
The Gialloblu, coached by former Italy tactician Roberto Donadoni, have won just three games all season.
Parma, who finished sixth last season, sit at the foot of the table, 13 points adrift of safety, with a game in hand.