The 33-year-old Portuguese coach is keeper Cech's sixth manager in seven eventful years at Stamford Bridge.
But the Blues player of the year told The Sun: "It is hard to explain why it is the way it is at Chelsea sometimes. But now we have a young manager who can hopefully stay for 25 years like Ferguson at Manchester United.
"It would be great to have that continuity here.
"Andre is a great choice. He is young and he has proved that he can manage a big club to success. He knows English football and he knows our club - that will be a massive help.
"We know him and he knows us from the time when he was here with Jose Mourinho. Andre did a fantastic job then with all his analysis of our opponents which I always found a big, big help.
"And I'm sure he will do a fantastic job again."