The 23-year-old, who will represent France in the World Cup starting next Friday, has been mooted as a possible replacement for Cesc Fabregas should the Spaniard return to Barcelona.
However, Tiraud is adamant there has been no approach for the former AC Milan player and refused to be drawn further.
He told a press conference reported in L'Equipe: "I'm not going to comment on anything from the English newspapers.
"Today, I have received no offer for Gourcuff or anybody else for that matter. We know what the English tabloids are like.
"Fabregas was going to Barcelona, everything was done, and I just saw [Arsenal boss Arsene] Wenger say that Fabregas will stay in London. I will not be drawn into this game."