Saturday's William Hill Scottish Cup exit was Hibernian's fourth consecutive defeat and Butcher has demanded his players return to the standards they set during his first six weeks in charge, when they lost just once in nine matches.
And Butcher has told them to repay the fans by launching a charge for the Scottish Premiership top six.
"We have to look forward now - we've let a lot of people down and the boys were hurting a lot," Butcher told Hibernian TV.
"The fans are hurting as well - we're in this together and we have to make sure we come out of it together.
"We had a good discussion and the boys were very honest about it.
"We have to get back to what we were doing - we were resilient and tough to beat in those early days. But that toughness is gone and there are a lot of things missing from our game.
"We've got to get them back and we will do that through hard work and applying ourselves even more."
Hibs are four points behind sixth-placed St Johnstone, who have a game in hand, ahead of their meeting with Ross County at Easter Road on Saturday.
"Our season now is nine games, before the split," Butcher said. "Each game is our own cup final and each game is an opportunity to pay back a lot of people and pay back ourselves.
"We need to show we are good players, that we are a good team and that we are all together in this.
"If that's enough to get us into the top six, that's like turning around our season."
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