The Brazilian hit the opener in yesterday's 2-1 win at Wolves and led some of his team-mates to the dugout to celebrate with Villas-Boas.
AVB is under pressure to turn Chelsea's season around and put the heat on pacesetters Manchester City and Manchester United.But all is clearly still not well in the camp with news of the boss' astonishing treatment of match-winner Frank Lampard after the Molineux triumph.
The Portuguese came in for flak from the club's fans after a shock 3-1 home defeat to Aston Villa on Saturday.
He was also excluded as a group of players organised a secret Chinese meal for departing striker Nicolas Anelka, who was banned from the club's Christmas party.
But midfielder Ramires says Russian owner Abramovich would be wrong not to support him.
He said: "If Andre leaves, someone else will come ? and if it keeps going on like that, we won't get anywhere.
"The players know what Andre has done for the club.
"It's an injustice to make the manager the one who's responsible for everything that happens with a team.
"He's doing what he can until the players go on the pitch.
"From that moment, it's not up to him, it's not for him to run or compete for a ball.
"This is all part of the period of adaptation. We're trying to do what he wants but, unfortunately, there are times when we won't win.
"We're not playing badly. We have to go on the pitch with a seriousness and desire to win until the end."
Villas-Boas was surprised by the way his players came over to him after Ramires' goal.
ANDRE VILLAS-BOAS claims Chelsea deserved all three points at Molineux
He said: "It's just their way of showing unity.
"I didn't know they were going to do that but it was good to find the strength of character after the negative criticism we have had.
"Wolves made us fight for it in an extremely exciting game and now we want to avoid going back to those negative periods by getting points and avoiding incompetence.
"Our results away from home have been better because we are more tranquil and there is less anxiety then when we play at Stamford Bridge.
"If we can go on a winning streak of five or six games, maybe we can be fighting for the league again. But, first, we have to find that consistency."
Ramires, 24, insists the Blues must forget about the glory days under Jose Mourinho and allow AVB, who arrived this summer, to make his own mark.
He added: "We can't cling on to something that was years ago.
"It's not by chance that Andre won three trophies last year with Porto.
"The way he treats the players is unique. He treats everyone equally, regardless of who they are or how famous they are.
"Every day he speaks to individual players and tries to help solve problems. It's hard to find someone like that.
"He talks and listens to what players say. That makes a difference. He's all smiles and likes to joke around.
"As a person, he's extraordinary and he's also admirable as a coach. My football has grown a lot with his arrival.
"This is the best spell of my career. He has everything to do well at Chelsea, as he's one of the best in the world."
Villas-Boas admitted his midfielder Lampard could have been sent off for a 24th-minute foul on Adam Hammill, which was punished by a yellow card.
Lampard added: "My heart was in my mouth. There was no malice but I might have been a bit lucky.
"I said sorry straight away to Hammill."
Wolves manager Mick McCarthy refused to blame that incident for his team's late defeat.
He fumed: "We can't do anything about decisions but we can defend the ball into our box.
"I'm absolutely livid at conceding a goal like that. If we defend the bleeding cross ? it wouldn't have happened.
"It was professional suicide."