The Serie A champions however stopped short of offering an apology to their leading marksman.
Osimhen failed to hit the target from 12 yards in a goalless encounter and Napoli's official TikTok account made light of the whole situation with a video post on Tuesday which did not go down well with the Nigeria striker's entourage, who threatened legal action against the club.
Osimhen was back on the score sheet on Wednesday as Napoli defeated Udinese 4-1 in Serie A but he showed little emotion during his celebrations.
A statement on Thursday from Rudi Garcia's side read: “Calcio Napoli, wishing to avoid any exploitation of the issue, point out that we never wanted to offend or mock Victor Osimhen, who is a treasure of this club.
“As proof of that, during the summer training retreat, the Club firmly rebuffed every offer that was received for the striker’s transfer abroad.
“Social media, in particular TikTok, has always used an expressive form of language with a light heart and creativity, without wanting to, as in the case with Osimhen as protagonist, have any intention of insult or derision.
“In any case, if Victor perceived any offence towards him, this was not what the club intended.”