The Germany striker has joined Milan on-loan from West Ham and has already impressed coach Max Allegri in his first outing.
Speaking with DAZN, Fullkrug was asked what joining Milan meant for him: "Great players. I think of players like Ronaldinho, Beckham, Pirlo, Gattuso, Kaka, Ronaldo. Zlatan.
"I watched them play in AC Milan's Champions League finals, all the time. And it's simply a great club."
On Allegri, he continued: "He's very direct, and I appreciate that. He's also very direct with the whole group. But he always has a good joke ready, and you never know when he's joking: he could do it at any moment."
Fullkrug also says the chance to share the pitch with Luka Modric was also a big attraction when Milan called.
He added, "He's an incredible player, with an incredible career. And it doesn't seem like it, because he behaves very normally, as if he were a normal part of the group. He does normal things, he behaves like eeryone else.
"His style of play and the way he sees the pitch are different. And I think if we get used to each other, I can benefit from it."