The Portuguese, who impressed for his country at Euro 2012, says that he intends to honour the remaining two years of his contract with the Russian champions
The defender played a starring role in Portugal's run to the semi-finals of Euro 2012 and his stellar form is said to have attracted the interest of the Bianconeri.
Fiorentina and QPR are also rumoured to be tracking the player, but he says that the thought of leaving the Russian champions has not crossed his mind.
"I do not know anything about these offers," the centre-back told Sovietsport. "My agent has not told me anything.
"I can say, though, that I still have two years on my contract with Zenit and I want to stay to win more."
The 30-year-old, who has been capped 55 times by the Seleccao, joined Zenit from Porto two years ago.