"I am the oldest in the squad, I feel a lot of responsibility and I like that feeling, as they all follow my lead and are hungry to win". "They locked the wrong animal in the house", he told MTV.
"It's not easy mentally to always be at home coming off a very high pace, the body is shaking because it wants to work, it wants to play".
The 39-year-old scored a brace in the 2-1 win and according to him, they can win the title despite having a long way to go.
Ibrahimovic then struck again after a superb counter-attack that also involved Calhanoglu resulted in Rafael Leao sending in a superb cross from the left, which he impressively converted with a controlled first-time finish.
The Swede's first-half double ensured a Romelu Lukaku striker was a mere consolation as Milan secured their first city derby victory in the league in over four years.
With four wins from four games, Milan is at the top of Serie A. "We won every game this season, but none of them were easy". Nobody was going to stop me.
"I'm more angry than anyone that we weren't allowed to go". I always have. I'm playing well, with great experience.
Slovenia forward Josip Ilicic returned for highly-fancied Atalanta after almost three months out with personal problems.
Milan stunned Inter with two goals in the space of three minutes, both scored by Ibrahimovic.
Osimhen held up a t-shirt after his debut goal on which was written "End Police Brutality in Nigeria" as protests against law enforcement violence continue in his home country.
Summer signings Federico Chiesa and Alvaro Morata combined in the 21st minute to cancel out Simeon Nwankwo's penalty, though Chiesa was later sent off after a bad tackle in the second half.
"This defeat as a wake-up call", said Gasperini ahead of starting their Champions League against Danish club Midtjylland on Wednesday.