It is believed to only be a matter of time before Allardyce is confirmed as Roy Hodgson's successor as he looks to rebuild the team following a disasterous Euro 2016 campaign.
Shearer believes that the Sunderland manager differs from those that have been appointed in the past.
"One thing you can be sure about with Sam Allardyce is that he will not take any s***," he said.
"The FA have not appointed a 'yes' man. They have gone with someone who will do things his own way as England boss.
"The England players will definitely respect Sam because if they don't — they will be out. It's as simple as that."
The former Newcastle United talisman went on to underline how Allardyce would not make the same kind of selection errors that were evident under his predecessor.
"Crucially, I'm confident Sam will also pick players who are in form and are fit," said Shearer.
"Picking crocks and out-of-sorts stars has been a big mistake England have repeated over God knows how many years.
"Another thing Sam has got going for him is that it can't get any worse from what we saw in the summer."