The ex-Wolfsburg man kicked off his career in Gattuso's team with an eight-minute hat-trick against L'Aquila - an encounter that ended 11-0.
Again, he found the net thrice as the Stadio San Paolo giants beat Serie C club Teramo 4-0 as they ended their pre-season training camp in Castel di Sangro on a flying note.
The 21-year-old’s goalscoring start to life at the club has caught the attention of the Archbishop of Naples, Crescenzio Sepe, and he hopes to see the Nigerian score more goals.
"What I said to Victor Osimhen? We talked and I said to him: ' You have scored 3 goals in 7 minutes, next time you have to score 5 goals in 5 minutes, you have to score almost every minute, do you understand?'," Sepe said.
"And did he understand? No, not so much: he doesn't speak Italian… I communicated in Neapolitan, somehow, we got along. He is happy, I saw it from his face regardless of the language we spoke. I congratulated him and all the players."
The Lagos-born goal machine is looking forward to playing against Juventus superstar Cristiano Ronaldo in his maiden Serie A campaign.
“I’m really looking forward to a new career here in Serie A. Playing against the likes of Christian Ronaldo is something one can eagerly wait,” Osimhen told the Caf website.
“While at Lille, I had the opportunity of playing against some of the best players in the world like Neymar, Kylian Mbappe and it would definitely be a whole great experience to play against Ronaldo, who is one of the greatest players on earth.
"So, I’m looking forward to facing him soon.”