The Englishman left Inverness to take over at Easter Road last week in the wake of Pat Fenlon's departure and the fixture list handed him a Scottish Premiership clash on Saturday with a rejuvenated Buddies side who have won four out of their last five games and who will leapfrog the seventh-placed visitors with a victory.
Butcher, who is banned from the touchline following his dismissal during Caley Thistle's League Cup win over Dundee United, said: "At the start of last season we played St Mirren away, the start of this season we played St Mirren at home and the start of my managerial reign at Hibernian will be St Mirren again.
"So they seem to be there on all the big occasions for me.
"We have won one and drawn one so hopefully we can get another victory on Saturday.
"I just can't wait now. The only thing now is to try to get some wins and climb the table.
"But they are hot and Danny (Lennon) has changed it around very well.
"There are some good players in that team.
"It has been very impressive, they are scoring goals and looking a solid, hard team to break down."
Butcher has been impressed by his players' work in training and is hoping they will soon be playing with a smile rather than a scowl.
Without a win or a goal in their last four matches, there has been little for anyone to enjoy around Easter Road in recent weeks
However, Butcher said: "I am looking for a good reaction from the players - which I am positive I will get - and players going out and playing with a smile on their face and enjoying what they do.
"I am excited every morning I wake up, coming to the training ground, being with a group of players like we have and being at a club like this.
"We are excited with what we have got, there are one or two areas we need to work on which we will do but generally, we have been impressed by them.
"There are good characters here, players who want to win and score and their attitude and work rate has been great."