By ESPNSTAR.com staff
Inter were always expected to emerge triumphant against the league's new boys and they raced to a 2-0 lead inside 20 minutes courtesy of goals from Wesley Sneijder and Diego Milito, before Philippe Coutinho wrapped things up with a third nine minutes from time.
And while Stramaccioni admitted it was a good start to the campaign, he was quick to stress the importance for his side to remain grounded.
"We're happy," he said on the club's official website. "It's only the first step but we're happy.
"Let's say it's a good start, but we know there are things we still need to work on. It's good that we've followed up Thursday's performance [in the Europa League] with another decent one tonight [Sunday].
"A great team that takes a 2-0 lead into the dressing room at halftime at a difficult ground is a sign of strength. Our quality comes through when when we move the ball around.
"It was a good start but there's a long way to go. We have to keep our feet on the ground."
The 36-year-old also explained his decision to throw new signing Antonio Cassano straight into his starting XI.
"I made up my mind after the first training session," Stramaccioni added. "I wanted to play with two strikers and an attacking midfielder.
"He [Cassano] repaid my faith with his performance today [Sunday]."
Cassano himself added: "The important thing was getting the three points.
"The performance was good and the team played well.
"And it's easy to play alongside Milito and Sneijder - two players of a very high standard."
Cassano had only completed his move to Inter on Wednesday in a move which also saw Giampaolo Pazzini leave the Nerazzuri for AC Milan.