Hoddle said on the Jeff Stelling Show: "Ossie (Ardiles) and myself, after the Forest game, we felt there was a real problem there.
"Ossie and I made it clear that we would go in there if they wanted us to go in there. Tudor was in as the manager, but to lose 3-0 against a team down at the bottom with you was a bad sign.
"It looked to me as if it needed some love, it needed some people to go in there and unite the fans."
Hoddle added: "It (our proposal) was sort of looked upon and they said they were looking elsewhere. So it was fine by me. I don't care who (has the job).
"I'm a Spurs man through and through since 8 years of age. So as long as they've got the right man in... De Zerbi has gone in, and everyone's got to unite and get together.
"But they've got a real task on their hands haven't they? I just want them to stay up."