The 27-year-old starred as Brazil lifted the Confederations Cup in June and his impressive performances have seen him linked with a summer switch to England, with Tottenham mentioned as a possible destination.
However, Zenit manager Spalletti has denied that the striker could leave the Russian club.
"Hulk is not for sale," he stated to A Bola.
Hulk, who joined Zenit in 2012 from Porto, missed the weekend clash with Dinamo Moscow through injury and Spalletti is sure he will not feature in the upcoming Champions League qualifier with Pacos de Ferreira.
He confirmed: "I still can't count with Hulk, he needs more time to recover."