Italy coach Marcello Lippi called up Rossi for the first time, in preference of Juventus veteran forward Alessandro del Piero, ahead of the games against Bulgaria and Montenegro.
"My only aim is to adapt to this group in the best possible way," said Rossi.
"I should have joined the national team back in September but I was unable to do so because of injury.
"Finally, my chance has come and it's an honour to be here."
The 21-year-old feels ready for the challenge that awaits him in this new adventure with the senior side.
"I know what I have to do, that is to play as I know how," he said.
"Although I am aware that Bulgaria and Montenegro are difficult rivals."
Rossi will have an added incentive to do well this weekend after the disappointment of Italy's exit from this summer's Beijing Olympics.
The former Manchester United forward, who had enjoyed an impressive campaign with Primera Liga side Villarreal, scored four goals in China to finish as the top scorer of the tournament but it was not enough to prevent elimination by Belgium in the quarter-finals.
And Rossi is now trying to use that setback as a spring board.
"I would really like to bounce back from the disappointment of the Olympics," said the American-born striker.
"Although this summer's disappointment is a pain that will burn forever.
"But this is a great opportunity for me and I will try to learn as much as possible from playing alongside the world champions."
Rossi joins the national team in buoyant mood with his club Villarreal flying high in the Primera Liga - they lead the standings alongside Valencia after six games played.
"We are first in the league standings and we are also top of our group alongside Manchester United in the Champions league," said Rossi.
"Unlike at Manchester United, where I was very young and had limited playing time, at Villarreal I have been able to shine and I and the rest of my teammates hope that we can help our club be the surprising team in the league for many months to come."
