French international Lacazette joined Arsenal earlier this summer for a club-record fee.
The former Lyon frontman has impressed during pre-season, scoring twice for the Gunners.
Lacazette has been compared to fellow Frenchman Henry, who scored 228 goals in 377 games for the north London club.
And Henry, Arsenal's all-time leading goal scorer, has backed the French striker to be a big hit at the Emirates.
He told Sky Sports: "I'm a big fan of him.
"I saw him playing for a long time in the French league and in the youth team.
"He was always a talent that everyone was waiting for him to grow into, and to be fair he did, he's been scoring goals every season."
With Lacazette joining Arsenal, speculation has grown over Olivier Giroud's future, who looks set to start the season as second-choice forward.
But Henry thinks that Giroud still has a pivotal part to play for the Gunners, with the 30-year-old offering a different type of role in the side.
"[Lacazette] has a different game to Giroud, which I think is good because you need different types of strikers.
"He did it in the French league and people might say it's a different league but, with due respect to Lyon, he'll also be with better players. I'm backing him to have a good season.
"But rotation will be key. Sometimes you'll need Giroud or even [Alexis] Sanchez in the middle and sometimes you'll need [Danny] Welbeck or [Theo] Walcott, whoever will have an impact."
