Lampard has immense respect for Capello and would like him to remain in charge whatever England achieve in South Africa.
He said: "The manager did not have to reaffirm his authority at the meeting.
"He got authority from the moment he walked into this job two years ago and continues to have that.
"Everyone can see that in his manner, in his record and the players have complete respect for him.
"I've really enjoyed working with him, I've respected everything about him and yes, I would like him to stay.
"It's a question for him and the FA but I've been lucky enough to work with some fantastic managers, and Fabio Capello is right up there."