The striker is set to star for France at Euro 2016.
Giroud had an up and down season for Arsenal, starting the campaign strongly but then enduring the longest goal drought of his career in the second half of the year.
There remain questions about his position in the Gunners' line-up, with many believing he is not of the quality they need if they are compete at the highest level.
Giroud looks set to be France’s main striker at Euro 2016 this summer, with the hosts missing first-choice Karim Benzema.
And Henry has backed him to do well for his country, but says he feels sorry for him just as he used to feel for Heskey.
“Giroud has shown in the past he is good enough for France and will have to show it even more now because Benzema isn't going to the Euros,” he told the Mirror.
“So the pressure will be even bigger on him and the squad. I was always feeling sorry for Emile Heskey when he played for England. Giroud is that type of guy.”
Despite backing from Henry, Giroud needs to do well at the Euros to try to secure his Arsenal future also.
The Gunners are expected to be busy in this summer transfer window and have already been linked with moves for several high-end strikers.
If one arrives, Giroud would obviously drop out of the side and he may need a strong tournament with France to ensure he stays at the Emirates in the near future.