Parish insists Palace could compete with clubs such as Everton, who are five points ahead in ninth.
He told the London Evening Standard: "Everton probably have about £10-11million more non-TV income than us, that's it. So it's not like the old days when their gate money was a significant differentiator in the ability to spend and compete.
"In TV money, the Premier League is the most equitable league in the world. In the Bundesliga, you get three and half times the TV money if you win compared to the bottom side. But the bottom club in the Premier League got only one and a half times less than Manchester City got last year.
"As a seven-year-old in the 70s at my first match, I watched Palace beat Chelsea 2-0. We've fallen miles behind that time. It upsets me. When I was a kid, the experiences at Highbury and Palace were not that different. We weren't far away from them. It will take a long time to come back to that position. But Southampton have no more money than us and they are second. So why isn't it possible for us to come back?"
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