Materazzi has declared Lucio, now with Palmeiras, should retire.
"It's difficult to talk about Materazzi, because I arrived in Italy in 2009 and the last time I saw him play well was in 2006," said Lucio.
"Perhaps it hurts him that before I arrived he'd never got past the Champions League Round of 16.
"Materazzi is a bit repressed, but on the pitch he was very nasty as he went in to hurt his opponents. I played alongside him and heard him say he played to hurt the opposition.
"Now he behaves the same way off the field - as a nasty person."