Some of Neville’s former United teammates are among those pulling apart Mourinho, but that hasn’t stopped him from hitting out.
“I think it is disgusting,” he told BBC Radio five live.
“I read something the other day that his methods are outdated and I think that’s the most disrespect thing ever.
“How do these people know his methods are outdated when he comes back in a Manchester derby and wins 3-2?
“Were his methods outdated in that? I think his record speaks for itself.
They are going through a bad period. That performance last week at Brighton was unacceptable but I don’t see a better man for the job.
“In terms of his record since he’s gone to United – an FA Cup win (sic), Carabao Cup win, Europa League win, two Champions League qualifications.
“I don’t think all is smooth there and I think it’s a club issue but I think the criticism that’s getting, I just think it is disgraceful. I really do.”