Team England coach Brendon McCullum said their team is not a "finished product" yet, adding that winning in all conditions should become a norm for the team.
After playing with an aggressive approach, England won all four Tests since the new head coach took over last month.
"We're not a finished product first and foremost," McCullum said.
"We're a month into it and we've had some great results and we've seen the cricketing world put them on notice a little bit, but we need to ensure that this becomes a norm for us.
"That this style of play and what we're trying to achieve is completely authentic to us in any given situation and that will be the real challenge," he added.
England looked like a completely transformed squad in the Test series against New Zealand by registering a 3-0 series and the record chase in the rescheduled fifth Test against India.
The former New Zealand captain McCullum hoped England can replicate the success at home in overseas conditions.
"Obviously conditions around the world will mean that we'll have to be relatively adaptable as well but look, I think that's one of the beauties of this group. I think there were times throughout the two series that we've played where we've had to absorb pressure as well.
"Much has been made of the destruction that we were able to operate with the ball in hand particularly and our hunt for wickets with the ball, but there are times where we had to absorb pressure.
"When that was needed, the guys really did it, which was really satisfying too.
"It's early days but it's certainly a nice changing room to be around; a wonderful group of guys and clearly an immense amount of talent and ability within the dressing room and really well led by the skipper in Ben Stokes too."
The England Test team is set to face South Africa in a three-match red-ball series next month.
(Inputs by PTI)