Despite falling behind to Arturo Vidal's opener, two goals from Diego Milito and a Rodrigo Palacio strike stunned the Old Lady and marked the Nerazzurri out as serious title contenders.
“I tried to prepare for the game in the best way possible and it is also annoying to hear sarcasm from Juve before the match on Inter’s tactical approach," he told reporters after the game.
"At the final whistle perhaps [Juventus sporting director] Beppe Marotta might think differently. I just want respect. They were sarcastic comments about how I was 'tactically carefree’ – we prepare for games in every detail during training."
After much speculation before the game, the 36-year-old opted for an adventurous 3-4-3 formation and believes the result is cast-iron proof that his tactics were spot on.
“I knew full well I'd play 3-4-3," he added.
"Inter forced Juventus, who have dominated Italian football for the last two years, into real problems. We won regardless of incidents, which I promised I will not talk about, so I think we deserve some respect."
The result leaves Stramaccioni's side in second place and one one point behind the Old Lady, and he believes the manner of their success will have made the rest of Italy sit up and take notice.
"This result will send a signal, as we came here to the Juventus Stadium against a team unbeaten in 49 rounds and attacked them with a trident," the Italian continued.
“Juve keep talking about what happened on the pitch, on the pitch, on the pitch – well, Inter beat them on the pitch. Inter are growing and that is the important thing.”