Il Riformista claimed on Friday that Galliani would leave his job at AC Milan, as his relationship with club owner Silvio Berlusconi had become strained.
Galliani said in a statement: “I categorically deny the news on Il Riformista which claimed I would move to Juventus or Real Madrid.
“Also, I firmly deny the news from certain agencies that my relationship with Silvio Berlusconi had become strained.
“I have sentimental and strong ties with the president which go back 30 years.”