Following the 2-2 draw with Chelsea on Saturday, the Foxes sit third in the table and 13 points ahead of fifth place - putting them on course for Champions League football next season.
“I think he [Rodgers] is a great fit for them," former Leicester manager Pearson told Sky Sports' Goals on Sunday.
"He is somebody who is capable of taking them on again. After the Premier League win, there was a case of 'where do we go now?'
"But I think Brendan is someone who is able to formulate what the next step is."