Speaking to Tubes from Sky Sports' Soccer AM in the USA, New York City FC's Lampard indicated that he would like to see Redknapp in the job which is now favoured to go to current Sunderland manager Sam Allardyce.
"Look at Harry (Redknapp). He's a motivator of people and I think that's what England need; someone to really bring out the best. He did it with Tottenham, when they had that great team a few years back," said Lampard.
"I certainly think Harry would be great in that role.
"Players love him and he was always forward thinking, so I'm sure he would embrace having a younger coach who can do some of the legwork on the training ground, and Harry oversee it, speak to the lads, get them confident, get them speaking to the press in the right way, not fearful of the press, not fearful of Spain, Italy, Portugal, or whoever you've got to play against.
"I think we've got good young players and it's not like I'm digging out Roy Hodgson because I really like Roy, and the tournament went terribly for all of us, England fans included. It wasn't for the want of trying.
"So I think we've got to go again and benefit from these young players coming through."