Federal Lawsuit: Arizona Counties Refuse to Purge Noncitizens From Voter Rolls

Article Quote: "The suit argues that officials are not, as required by law, purging noncitizens’ names from voter rolls, and demands that the court order those counties to rectify their refusal to comply with the law.". The question in my mind is if Arizona isn't following voting laws, will they still be allowed to cast votes in the federal election?