Blues have appointed Di Matteo until the end of the season.
But the move will do little to improve morale.
A source said: "The players could not stand AVB because of his arrogance. But, if anything, they like Roberto even less.
"He's just too cock-sure. They might unite behind him to start with but after a couple of bad results it will be just as bad, if not worse.
"It's a shambles from top to bottom. They just don't have a coach.
"There's no one to take control of training, no one for the players to look to."
Chelsea fans still like Di Matteo from his playing days, which were cut short by injury.
But after early success at MK Dons and winning promotion with West Brom, he was sacked by Baggies in 2011 after winning just 10 of 30 Prem games.
He was still out of work last summer when Villas-Boas drafted him in as his assistant.
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