Barnett told BBC Sussex and BBC Surrey: "We read each other's game well. We've played a lot of time together and we're still learning.
"I think there is more to come from us, but there is a lot of competition."
The Reds were among the pre-season favourites for promotion from League Two, but Barnett believes they will have to be patient in many of their games.
"It is a tough league because anyone can beat anyone," he added.
"I think a lot of sides will sit back and try and hit us on the break. We'll have to work hard and play our game.
"But we've got the squad and ambition to be there or thereabouts for promotion."
Source: BBC Sport
Source: BBC Sport