With Club captain Phil Jagielka suspended, Coleman was named skipper for Saturday’s Goodison Park curtain-raiser, a 2-1 win over Southampton.
That followed a 2-2 draw at Wolverhampton Wanderers on the opening weekend of the campaign - a result that came despite the Blues being down to 10 men for almost an hour following Jagielka’s first-half dismissal.
And following two high-intensity displays from Silva’s men, Coleman insists it’s hard graft on the training ground that’s paying off.
“Since the manager came in he’s been very keen on us pressing as a team, getting the ball back as quickly as we possibly can and playing forward passes and attacking football,” he said.
“He’s very demanding but that’s what you want from your manager. Like I’ve said many times, I want to win things at this Club, so I want demanding managers, and he most certainly is that.
“He’s very dedicated to his job and you could see that after two or three days because of the work rate he puts in to every little detail.
“He’s made me more aware of certain things. He’ll show you clips from games and what he wants you to do, or what he thinks you’ve done well, and that’s great.
“He encourages you to get forward but there’s no aimless bombing down the flanks or anything like that - you’ve got to know when to go and you’ve got to make sure we’re set up properly [for you] to go.
“It’s very enjoyable and I hope we can have a successful season.”
Coleman revealed Silva was the brains behind the inventive free-kick routine that led to Theo Walcott’s opening goal in the victory over Mark Hughes' men - the Everton manager’s first competitive fixture at Goodison Park.
Speaking in his post-match press conference, Silva explained how the move had been rehearsed at USM Finch Farm, with Coleman confirming it had been part of the squad’s pre-match instructions from the Portuguese.
“It was all his idea,” said Coleman. “As I said, he’s very detailed and, as far as I’m concerned, he’s a great manager and those little details are the difference between us drawing that game or winning it.
“I think he might have seen a weakness or whatever in the opposition team to do it and we worked on it.
“It’s great for us players to see someone putting that effort in and then to see it come off.
“Sometimes they’re the most rewarding goals - the ones you work on.”
Like Silva, Coleman also thanked the Evertonians inside a packed out Goodison Park for the role they played in getting the Blues off to a winning start on home soil.
The 29-year-old added: “If we can get that crowd with us as they were for the whole game for the rest of the season we can have a very good season, especially at home.
“And I think it’s the way we need to play. It’s tough going but the manager’s working us hard, I feel like we’re getting fitter all the time and, like I’ve said, it’s really enjoyable.”