Roberto Calenda released a statement on messaging platform X, formerly known as Twitter, saying the video caused "very serious damage to the player".
"What happened today on Napoli's official profile on the TikTok platform is not acceptable.
A video mocking Victor was first made public and then, but now belatedly, deleted," said Calenda.
"We reserve the right to take legal action and any other useful initiative to protect Victor."
Osimhen missed a late penalty in a goalless draw against Bologna in Serie A on Sunday.
Persons:
Renato Dall'Ara, Napoli's Victor Osimhen remonstrates, Rudi Garcia, Ciro De Luca, Victor Osimhen's, Roberto Calenda, Victor, Napoli, Osimhen, Angelica Medina, Toby Davis
Organizations:
Soccer Football, Bologna, Napoli, Serie, Udinese, Thomson
Locations:
Bologna, Italy, Mexico