The Black Cats have improved considerably in Allardyce’s brief time in charge so far, with their defence looking much more secure.
And Coates feels that the side look more organised because the 61-year-old manager is so thorough with his preparations prior to matches.
“I enjoy doing the homework for the games,” he said.
“We’re always spending a day during the week on the team shape, but that’s perfect.
“We need the organisation and to work on the shape.
“The manager knows what it takes to play as a centre-back, so he’s always giving us information.
“When he came, he knew the players and why it wasn’t a good time.
“But he gave confidence to everyone.”
Allardyce has won three of his first seven matches in charge of the Black Cats, and the team’s showings in these contests have been impressive.
Sunderland have appeared to be robust and secure in the most the matches they have played under Allardyce’s stewardship, which is a stark contrast to how they were looking in the early part of the campaign.
Sunderland were leaking goals under Dick Advocaat, and their defence was exposed on numerous occasions.
Despite their noticeable progression, Sunderland are still in the relegation zone, and they lost their last fixture 3-1 to Arsenal.
It means the pressure remains on them to start picking up some points in their upcoming matches, with Allardyce’s side’s next fixture coming against Watford at the weekend.