The midfielder joined West Ham on a free transfer this summer after being released by Arsenal.
And Brooking is certain Wilshere will make the desired impact.
"The player I'm quite excited about is Jack (Wilshere)," he said.
"He's a talented player, a creative midfielder - West Ham need someone like that to see a pass.
"At 26 - for me the next 5 or 6 years were my best - you've got your confidence in your ability.
"And if I was him I'd want to prove to everyone that he can be as good as we know he can be and so for me his presence, if he plays well will be a big plus."