The Telegraph isn't exactly a noted red top is it?
Allardyce (or his agent) were negotiating a business deal which he might or might not have agreed to at some point. He said he would have to clear it with the FA who were likely to veto it anyway.
He made some comments in private which just about everyone outside the F.A have already made and agree with. He was wrong to mock Roy Hodgson's impediment but it was done in private (and has been done on more than one occasion here).
He discussed third party rules, disagreeing with them and saying how they are worked around, something that everyone in football is aware of. Without seeing the whole interview or transcript how do we know that he hadn't said he wouldn't do it or it was wrong. He probably didn't but we don't know.
The only reason that we are a laughing stock abroad is that, for some reason, our media and the FA insist, hypocritically that the English manager be a moral angel. We were told that we were all ashamed that a previous manager bonked a secretary. Elsewhere the reaction was "yeh, so what".
It could be argued that he did nothing wrong and certainly nothing that, in the real world, would merit dismissal or leaving by mutual consent (for which, read mutual sacking).