The Switzerland international completed a protracted move from Club Brugge last week.
The Jupiler League's Player of the Year was presented by Milan today and he began by stating: "My feelings about this club are incredible. It's a dream come true, not just for me but also for my family. I've only been here a short time, but I've received a great welcome from everyone. I'm settling in well. It's an honour to be here.
"Everyone knows it was a long negotiation, but from the first contacts with Milan, it was clear that I wanted to come here. I knew it wouldn't be easy because I was important to Club Brugge and they wouldn't let me go easily.
"Patience was needed. (Igli) Tare always told me he'd do everything he could to bring me here. Even though other clubs came, I only wanted Milan. Now we're all happy."
Tare was key
Asked about who led the negotiations, Jashari admits new sports director Tare drove the deal.
He continued: "It was a great negotiation between me and Milan. I was treated well by Tare, and then I spoke with (Zlatan) Ibrahimovic too. He introduced me to the club. During these weeks of negotiations, Tare gave me great confidence that he would eventually bring me to Milan.
"When you deal with people like that, you also do that little bit extra to get there. I want to thank everyone who worked to close this deal. I especially thank Tare; we're here to start a new era."
On his first impressions of coach Max Allegri, Jashari also said: "I've been here a week, but I can only say positive things about Allegri and his staff. I immediately realized he's a coach who cares about the team. There's great harmony in the dressing room. Then we all go out there to win.
"Allegri will decide where to deploy me. There's a lot of rotation in midfield, so we need to play in multiple positions. We'll see how Allegri wants to play. I can play as a number 10 or a number 6; the coach will decide."