The 29-year-old was delighted after his goal helped the Bianconeri to victory over the Rossoblu, with Paul Pogba notching the crucial second after Saphir Taider had equalised
The Italy international put his side ahead just before the hour mark, but the visitors' midfielder Saphir Taider restored parity in the second half.
However, summer signing Paul Pogba grabbed a late winner for Juve, leaving Quagliarella delighted with his side's determination to not give up until the final whistle.
"I'm happy with the goal, but also for the result," the 29-year-old was quoted as saying by Juventus' official website.
"If an attacker scores and the team wins it is the greatest [feeling for a player].
"Tonight we showed that we never give up and [always] believe, even up until the 95th [minute].
"Now Inter will be a great game," he added.
Juventus currently sit at the top of the Serie A table, four points above the Nerazzurri after 10 games played.