The 25-year-old moved to Derby from Huddersfield Town over the summer, and he has immediately been drafted into Paul Clement's starting line-up.
Butterfield has played four times for Derby already, and says that the squad have welcomed him with open arms.
“In terms of myself, I have settled in pretty well since joining," he said. "There is a good group of lads here at Derby, who have been welcoming and they have made it very easy to settle in."
Butterfield is yet to taste defeat in a Derby shirt, with the Midlands outfit winning three and drawing one of the games he has featured in for them so far.
However, the former England under-21 international insists that there is still more to come from the side, who are yet to hit top gear.
He said: "We have all been working hard. We haven’t quite managed to play the quality, free-flowing, type of football that we know we are all capable of, but it is always tough when you go away from home in the league and coming up against teams that want to make it hard for us.
“We are seen as a scalp in the league and if you want to be successful in the league then you have got to go and do the dirty work away from home and pick up the three points, which for us is the most important thing.
“We all want to go out there and produce the kind of football that we know we can, and I’m sure we will sooner rather than later, but it’s important that we keep winning in the meantime.”
So far this season Derby have rather surprisingly struggled for goals, with their successes built on the strength of their defensive unit.
Clement's side will be looking to play on the front foot this weekend, though, as they go in search of their first victory at home this season in a game against struggling Brentford.