Slaven Bilic said the successful seasons of Leicester City and his own West Ham club will be the new trend of the Premier League.
Leicester are currently first and West Ham are fifth.
"I think this is a permanent shift at the top," Bilic said. "At least I hope it is.
"Our story is excellent but their story is miraculous. I would love to be the number one story."
Bilic believes the EPL's television money will level the playing field.
"Say Man City buy Karim Benzema. They have Sergio Aguero already, so there is no big gap for them to improve," he added.
"There is no big space to get much better. Chelsea can sell Diego Costa and buy Robert Lewandowski, yes, but they are only different; not better.
"But clubs like us, Crystal Palace, West Brom, Leicester: we can still improve with the money. Two years ago West Brom maybe could afford Salomon Rondon, but they would have had to sell Saido Berahino to get him. Now they can keep Berahino, so next year, with more investment, you can keep those players. Crystal Palace can keep Yohan Cabaye and bring another one."