He said: “Once in the life it can happen. That is football. Once every 50 years a little team with less money can beat the biggest ones.
“If there are 20 teams who spend millions of pounds at the end of the season one will win the title and three will go down.
“Now there are very special circumstances. The big teams don’t have the consistency and normal teams have the consistency during the season.
“From August to April and now it’s important to keep the same consistency in May.
“I’m waiting for next season, United at the top, Chelsea at the top, Liverpool, (Manchester) City and Arsenal and we are fighting.”
Ranieri has said he wants to see a perfect away performance at Old Trafford, having already won in Manchester when they beat City 3-1 in February, a performance Ranieri rates at their best.
“To do something better is difficult, but I am speaking about the performance, not the result,” said the Italian, who is without suspended 22-goal top-scorer Jamie Vardy.
“When you play at Old Trafford it’s amazing, it’s the story of football. It’s great, I hope to show one of our best performances.”