The France international has been in good form this season, with 18 goals for the Gunners in all competitions as they look to end their nine-year silverware drought.
That had led to reports of interest from Juventus, Roma and Borussia Dortmund in the 27-year-old, who moved to north London from Montpellier in a £12million deal in June 2012.
But Michael Manuello, who represents Giroud, says he has not heard from any interested parties and is working to secure a new deal with Arsenal for the forward.
Manuello is quoted as telling calciomercato.it: "The rumours about Olivier are not surprising given that he is having a great season.
"I read about Juventus and Roma, but the truth is that there has been no contact with these clubs or with other ones.
"Juve were interested, it is true, but that was before he moved to Arsenal.
"He's very settled in London and the club is happy with him. I think there is no possibility he might change club.
"At the end of the season we will meet with the Gunners to discuss a contract extension."