He joined the Nerazzurri in January from Sampdoria and has responded with 11 goals in 17 League games.
"I was desperate to show what I can do and I think I've done that," the striker told Inter Channel.
"I feel as if I've settled in perfectly. There are lots of world-class players at this club and doing well here gives me great pride and makes me happy.
"What counts now, of course, is keeping it up. Next year we'll start the season with even more enthusiasm."
Pazzini was on the scoresheet again on Sunday when he grabbed a brace in the 3-1 win over Catania at San Siro.
"I'm really happy with this win, with my two goals and with these first few months I've spent here at Inter," he added.