“I really don’t think that because we are not ready. The reason is that City has worked with the same manager for nine years and Arsenal for five years. If you want to compete for big things you need that time.
“After Arsenal beat PSG they asked Luis Enrique and he said the same thing that Arsenal have had the same manager for five years and them only a year and a half.
“Imagine us, only three months… so it’s a huge difference. So I am really convinced we cannot compete with those clubs.”
Chelsea are home to Nottingham Forest in the Premier League on Sunday (14:00 BST).
They have spent £1.5bn across the last five transfer windows, albeit with significant player sales, and currently only have Carney Chukwuemeka (ill) and Reece James (hamstring) on the sidelines.
Maresca wants time and patience in his first year of management at Stamford Bridge, with the Blues entering the third year of their ownership under Todd Boehly and Clearlake Capital.
He added: “The target is to improve and slowly, slowly to get closer to those clubs but at the moment we are not ready for that,” he added.
“There is no timeframe because you can continue to improve and add solutions to things always.”