The France international revealed in a post on his official Facebook page that he was the subject of racist taunts by unspecified individuals.
"Today I experienced racism during the match," he wrote. "Weak people try to intimidate with hate. I am not a hater and can only be sorry for those who set bad examples.
"Football is a way to spread equality, passion and inspiration and this is what I am here for. Peace."
It is reported that the specific incident occurred shortly before half-time, when a furious Matuidi was seen looking towards the stands at the Sardegna Arena.
It is the second time Matuidi has endured such abuse in the last 10 days.
Verona were hit with a €20,000 fine and a partial stadium ban, suspended for a year, for racist chants by their fans towards Matuidi in Juve's 3-1 win on December 30.
The accusations have been levelled days after the English FA opened an investigation into alleged racist abuse of Everton defender Mason Holgate by Liverpool's Roberto Firmino.