The promising youngster is happy with life at his current club and is eager to develop his attacking instincts under Walter Mazzarri
The 19-year-old joined the Nerazzurri from Dinamo Zagreb in January 2013 and his since established a reputation as one of the brightest midfield prospects in Europe, despite the club's inconsistent fortunes on the pitch.
Kovacic has been linked with a possible switch to the Premier League, with Manchester United, Arsenal and Liverpool among those credited with an interest, but the midfielder is adamant he wants to continue his progress with Inter.
"I'm happy, I've come to Inter, a big club. I'm still young and I've got lots to learn but, I want to become a leader for Inter," Kovacic told Sky Sport 24.
"Italian football's very difficult. There's not a lot of space like in England or Spain, but you learn different things like how to defend and tactics, which are very important.
"I think I just need to be a bit craftier. I see my team-mates but I still don't see enough goalscoring positions, but I talk to the coach and experienced players to improve on that.
"Do I work on finishing? Yes, I work on everything, including when we're defending and where to be on the pitch when the ball's on the right and left."
Kovacic has made 30 appearances in all competitions so far this term for Inter.