The 22-year-old arrived at San Siro from Dinamo Zagreb on Monday on an initial two-year loan, although the Serie A outfit have an option to make it permanent.
Brozovic joins compatriot Mateo Kovacic at Inter and is hungry to learn under the tutelage of coach Roberto Mancini.
"It's a dream come true for me to join Inter," explained Brozovic. "I've always wanted to play for a big club with a great history.
"I don't feel under pressure. I want to learn from Mancini.
"Kovacic has supported me and will help me a lot.
"I prefer playing in central midfield or in the holding role, it depends on the formation.
"I'm very young. I have to keep developing as a player, but I hope to grow into an all-round footballer.
"I like [Manchester City midfielder] Frank Lampard. I hope to become like him one day."
Brozovic, capped seven times by Croatia, follows Lukas Podolski - another loan - and Xherdan Shaqiri in joining Inter during the January transfer window.
