Leicester beat Norwich at Carrow Road in the quarter-finals en route to the 1963 final - which they lost to Manchester United.
Pearson's side repeated the feat on Saturday to set up a last-eight tie against either Birmingham or Chelsea.
Pearson said: "1963 was the year I was born. I think when you get to the latter stages people do start hoping and dreaming that you can be successful in cup competitions. I have been fortunate enough to have played in cup finals.
"There are a number of big sides no longer in the competition, but we have to take it one step at a time."




 





