The midfielder's goal was not enough to prevent his team from suffering a late loss on Saturday, but he is confident that the Black Cats can come out on top against Wenger's men
A late Jimmy Kebe goal saw the Black Cats leave the Madejski Stadium empty-handed, after Gardner’s goal from the penalty spot had pulled his side level in the first half.
The former Birmingham man feels that his team were unlucky to come away with nothing, but insists they must now turn their attention to picking up all three points when Arsene Wenger's men come to town.
"It was really disappointing to lose the game last Saturday," he told the club's official website.
"I thought we created enough chances to win the game but with Ian Harte’s set piece delivery you can’t afford to give free-kicks away in dangerous areas.
"We’ve got to pick ourselves up and move on to Saturday. Arsenal are a class side but they are beatable as we showed here in the cup last season.
"We’ll have to get in their faces like we did last year and make it as hard as possible for them."
One positive to come out of Saturday's defeat was the debut of new £5 million man Danny Graham.
Gardner was impressed with the former Swansea striker, and is sure that he will prove himself to be an invaluable acquisition for the Black Cats.
"Danny’s a top lad,” he added. "A few of the lads already knew him which helped and they all said before he came that he’s a cracking lad.
"He’s a top player and with him and Steven Fletcher we’re going to score plenty of goals."