She's accused of helping the GOP operative traffic underage girls.
The lawsuit was filed on behalf of a teenager and her parents.
Jennifer Carnahan resigned over an associate's sex trafficking indictment.
The GOP donor and strategist is awaiting trial for federal child sex trafficking charges.
In a statement, she blamed 'mob mentality' for her ouster.
"She will never let the truth see the light of day, because in her narcissistic mind, it would ruin her brand," Andy Aplikowski said.
They say any leaders who failed in their legal or moral responsibilities should resign or be fired.
An increasing number of current and former party executives are calling for the embattled chairwoman to step down.
The Minnesota GOP chairwoman spoke to two radio stations on Tuesday.
Meanwhile, Carnahan has challenged the GOP executive board to call a confidence vote.
The indictment against Gisela Medina and GOP strategist Anton Lazzaro was unsealed Monday.
The statement revealed that Carnahan had been aware of an allegation of sexual misconduct made against a GOP staffer for months.
She says that she's victim of "smears" after one of her close confidants, Anton Lazzaro, was indicted for child sex trafficking.
It's over her close connection to Anton Lazzaro, who's accused of child sex trafficking.
She was arrested in Florida in connection to the case that saw Anton Lazzaro indicted on Thursday.
There have been calls from Republicans for Jennifer Carnahan to resign.
Some Minnesota Republicans have started distancing themselves from Anton Lazzaro, pledging to return donations from him.