“Inter care about this competition and it is our duty to be protagonists in Europe and Italy," the 36-year-old told reporters after the match.
"We started in the preliminary rounds and want to go all the way. In the first half we suffered with the way they passed the ball around, I won’t deny that.
“But we knew they were [Partizan] a very technical side. After the break it was an Inter monologue and we created so many scoring opportunities.”
Stramaccioni also reserved special praise for Samir Handanovic, who made a crucial save moments before Rodrigo Palacio broke the deadlock.
“Handanovic’s save was worth three points, every bit as much as Palacio’s goal," he added.
"I liked the way we went looking for the goal, as we knew that a win tonight would put us in a strong position to qualify. Jonathan impressed me after a few performances in which he didn’t show his true worth.
“Now the game in Belgrade will be crucial, as if [Partizan] win that then it all opens up again."