Fellow new boy Hudson-Odoi helped wrap things up, with his shot leading to Kalas' own goal on the night he replaced Duncan Edwards as England's youngest ever debutant in a competitive game.
He was called up to Gareth Southgate's side for the first time last week, after Federation Internationale de Football Association approved his decision to represent England.
Sterling has been touched by the plight of Damary Dawkins, who was diagnosed with acute lymphoblastic leukaemia in 2014 and passed away on Sunday aged 13.
Sterling has been the target of much criticism previously while on global duty, but this time he proved his doubters wrong in an England shirt with an exceptional hat trick that bagged the Manchester City man the match ball.
After his second goal in the Euro 2020 qualifier at Wembley, England winger Sterling lifted up his shirt to reveal a T-shirt tribute for the schoolboy with a picture of the pair together and the message: "May your soul rest in peace". Picture: Steven Paston/PA Wire.
"I thought I had to do something to try to give his family something to smile about".
Sterling grew up in a house near to England's national stadium so he was understandably delighted with his contribution towards a comprehensive victory.
"I think we need to find the balance between freshness and continuity", commented the manager. That was the best moment for me. He knows the background I've come from.
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The 20-year-old West Ham player, who recently committed his global future to England after having played some friendly matches for the Republic of Ireland, wrote what seems to be a pro-IRA message in 2015.
Sterling added: "They're playing for their clubs and they're special talents, every single one of them".
"All you would say is that you can see why he is and the way he is disciplined with his food and the way he is disciplined with his preparation and his focus".
'I'm sure there's going to be peaks and troughs along the way, and we've got to manage that as well, but I'm really pleased for him that he's gone into a game and shown people what he's showed us all week in training'.
The West Ham player said he was sorry for any offence caused by his comments.
"His numbers are insane this year, I'm just happy for him".