The Arsenal legend had an infamous bust-up with Petke earlier this season.
"At the end of the day you get judged by results and Mike has done that," Henry told mlssoccer.com. "It's never easy to learn the process while it's your first year. But like I said [at the start of the season], you've got to start one day and he's starting where people love him and where he's a club legend, so I would like to think that helped him in a way.
"But great reaction, great attitude. You know how he is. He's a fighter, he's trying to put that into the team and at the moment it's working, definitely."
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