Lampard was linked with the Canada job last month.Redknapp told Football.london: "I hope he gets a job in England somewhere. I think he's just been unfortunate.
"Like everything, you need good players. Chelsea was a poisoned chalice. Whoever's been at Chelsea recently, they haven't managed to turn it around, it's been hard. It was for Pochettino this year, it was hard for Potter, it's just that it was a hard gig. They recruited badly. Frank was left with a very average team, which wasn't easy.
"He did ok at Everton, but again Everton was tough. Sean Dyche has done great Everton, keeping them up, but that's about where Everton are as a club, in a bit of turmoil. They're looking for an owner, it wasn't an easy job to go into keeping them up, like when they turned it around when they were 2-0 down at home and came back against Palace. Who's achieving anything now? He couldn't do nothing there.
"For Frank, I'd like to see him get a team where he's got a chance to achieve something. He had no chance at Everton to achieve anything except keeping them up, then he's gone back to Chelsea, who were in a mess had a transfer embargo. He knows the game inside out. He's got great knowledge of the game. He was a fantastic professional. Frank needs to go somewhere where he's got a chance to be successful."
Redknapp added: "I'd hate to see him take another middle of the road job where you've got no chance of being a success. This is important for him now. He's got to make the right decision."