Sancho was handed his first competitive start by Gareth Southgate and teed up Sterling for his opener, while Rice and Hudson-Odoi had impressive cameos as they came off the bench in the second half for their England debuts.
Having gone three years and 27 England appearances without a goal, he has now scored five in his last three, having bagged a brace in a 3-2 Nations League win over Spain in October.
Before netting against Spain in Betis a year ago he went 28 global appearances without a goal.
The way in which he celebrated his hat-trick also underlined how much it all meant to Sterling.
He provided a neat assist for England's and Raheem Sterling's first goal and was often a threat down England's right wing with his dribbling skills.
With almost a half century of caps, Sterling is now seen as one of the "leadership group" in the squad, Southgate added.
"Callum's fitted in, he looks every inch an England worldwide in training, and I wouldn't hesitate to start him in games".
"He's a role model for the younger players coming in".
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"I think people will recognise their own experiences at 15, 16 and that they're not mature [at that age]".
Gareth Southgate was appointed as England boss in September 2016, before getting the job full-time two months later, following a successful period guiding the U21s.
Even at last year's World Cup doubts remained about Sterling's worldwide pedigree as he was substituted in England's laboured opening win against Tunisia after a performance that flattered to deceive.
In doing so, England will feature at the finals of the tournament this summer, meaning they have a chance to be crowned as the first ever Nations League champions.
"They've flourished and all of a sudden you've got some outstanding players that you might not have recognised".
"We have this thing about "an England captain", but really the captain is the person that is captain in the next game, isn't it?", he said in 2017. I won't hesitate to start either of them in the game. I think that's why you need a leadership group. But there is nothing to stop other players from doing that.
"I'll go and just make sure he knows that firstly, that he's OK and that he's supported", Southgate added.
"In fact, it was David Platt who was captain at the start - Tony took over during the tournament".