The Easter Road side have not won in the last 13 league games, and now face Hamilton Accies in the Scottish Premiership play-offs.
Hamilton go into the double-header on a terrific run of form, having lost just once in the last 15 games, but Butcher insists focus is just as important as impetus for the fixtures.
"It's not about momentum as far as we're concerned," said Butcher. "This is a whole new competition.
"It's a two-match competition now. You don't look at what's gone on before. It's about what we can do in these two matches.
"We've had 10 days to prepare. Hamilton have played two games of course, but we've had a little bit of a break at the end of the season, having played three games in the last week of the domestic season.
"So it's been good for us I think. We've had a chance to regroup, get over the huge disappointment of finishing where we are, and now we've got two second chances if anything.
"We've got two chances to have a go and make sure we stay in the Premiership."
Midfielder Kevin Thomson is expected to be fit for Hibs after shaking off a thigh strain, but defender Paul Hanlon is ruled out with a knee injury.
Watch Hamilton take on Hibernian from 7.30pm this Wednesday live on Sky Sports 1