The 25-year-old is currently with the France squad at Euro 2012 after playing an integral role in Montpellier's surprise Ligue 1 title success last season.
He is tipped to leave the French champions during the summer and has several clubs on his trail ahead of an anticipated £12million deal.
Borussia Monchengladbach have expressed an interest in signing Giroud, who has previously admitted he would be willing to join fellow Bundesliga side Bayern Munich.
However, Montpellier coach Rene Girard revealed earlier in the week that Arsenal are leading the chase for Giroud and suggested the forward's priority is to move to the Premier League.
Giroud is flattered to be the subject of such interest, but is putting his club future on the back-burner during France's bid to win the European Championship.
"It's nice that people talk about me but I can't talk about my future right now," Giroud is quoted by the Daily Star Sunday.
Arsenal are also in the market for Giroud's France team-mate Yann M'Vila and have already boosted their attacking options for next season by signing Germany international Lukas Podolski.
Jamaica is in need of a win against the U.S. Get the jersey of the Reggae Boyz.
The Nike Hypervenom is the latest cleat silo from Nike. It will change your game and is worn by the game's top players.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
Germany is one of the top teams ever and they will play the US on Sunday.
Manchester City will try and win back the Premier League title with this new soccer jersey from Nike!
Support the USA national team with an official 2013 Centennial soccer jersey from Nike. Its Official.
Barcelona will wear this new home soccer jersey next season. They also have a new away jersey. Get them both.
The hoop soccer jersey is classic and cool. The USA hooped jersey is perfect for every fan. Get in the Gear.
England will debut their new away jersey against Brazil at the Maracana Stadium on Sunday. Get in the Gear
The USA will wear their blue away jersey against Jamaica in their World Cup qualifier on Friday night.