The Gunners are said to be interested in luring the New York Red Bulls striker back to the Emirates Stadium on loan with the MLS season finished.
He re-joined the club last year on a similar deal and hinted at the end of his spell that he would be happy to return should the Londoners be interested.
Giroud believes that the 35-year-old would be a good addition and that he would love to work alongside him:
“Henry misses the enthusiasm around the Premier League,” he is quoted by The Metro.
“But he didn’t tell me if he will be back.
“It would be great joy to play with him.”
Henry left Arsenal in 2007, following a long and successful period in North London, to join Barcelona.
After three seasons he exited the Nou Camp to join the Red Bulls, becoming their second Designated Player.
With the MLS calendar ending during the winter, players are free to join European clubs as long as they have their employer’s permission.
Henry took advantage of this last season to return to the Emirates Stadium, where he was impressive during the short stint.
The likes of David Beckham, Landon Donovan and Robbie Keane have all utilised this option to move on a temporary basis during the American off-season.