The Reds are currently in the bottom three of the Premier League, following their defeat to Blackpool at the weekend.
“If you look at the Premier League now for example, we all thought that Chelsea were going to run away with it with Arsenal and Manchester United,” Barnes said, according to The Mirror.
“So the fact that Liverpool are now third from bottom, they are four or five points from fifth spot, I have no fears that Liverpool will be in the top six.”
He continued: “I’m excited for Liverpool because I think in the last three years the creative onus has been on Gerrard and Torres but with Joe Cole coming to the team and Meireles I think once they bed in they will improve.
“The exciting thing for me is they were able to get the quality of Cole and Meireles when normally you would think that they aren’t going to be able to get players of those qualities, so that looks good for Liverpool.
“And hopefully if the ownership changes and they get some money in. But it’s [going to] take time.”