Six players have already left the Deva Stadium since the club was relegated to the Blue Square Premier, and Barry has revealed he is also on the lookout for a new club.
But the 22-year-old concedes that the players only have themselves to blame for the club's perilious position and their ultimate relegation.
He told the Chester Evening Leader: "The gaffer told me that the club could no longer afford my wages and he advised me to look elsewhere for another club.
"It's disappointing to be told that you're no longer wanted but unfortunately that's what can happen in football when you get relegated. It's been a bit of a financial struggle at Chester and there's always a knock-on effect.
"If the club now goes into administration it will be embarrassing for everyone. But on reflection I think we deserved to go down and I think we got our just desserts."