City have won just two of their five competitive games, coming from behind to beat promoted Southampton on the opening weekend and then seeing off QPR 3-1. They also had to come from behind to snatch draws at Liverpool and Stoke, while they conspired to concede twice in the final three minutes to lose against Real Madrid in the Bernabeu.
With in-form Arsenal due to visit on Sunday, Barry realises now would be a good time to hit top form. The midfielder said: "It has not been an ideal start to the season We finished last season with a great defensive record. This time we are scoring a lot of goals but conceding at the same time. I am sure as the season goes on it is something we can work on."
City have won four of their last five home games against the Gunners.
Their only recent setback came in 2010, when Dedryck Boyata was sent off just five minutes into a 3-0 defeat.
They head north fresh from a six-goal spanking of Southampton and also with a Champions League away win under their belts, neither of which City can claim.
"We have started pretty steadily in the league, undefeated," Barry said.
"But this game against Arsenal is massive. They are a great side and we have got to try to continue our fine home form."