The 18-year-old striker scored all of his three goals inside the first 45 minutes to further cement his growing affection with the West Midlands supporters.
Gaffer Tony Mowbray is certainly getting the best out of the on-loan Newcastle United youngster and spoke of his impact with BBC Coventry and Warwickshire: "Adam Armstrong works extremely hard for us.
“We know what a talent he is. There are goals in his boots."
Armstrong's ability to find the net has played a big part in the team's promotion push this season. He is on 16 goals already, and it will be no surprise if he is close to the 30-goal mark by the end of the season.
The fact he is so young makes his rise all the more remarkable, with the teenager emerging as a precious talent over the past five months with his sparkling performances in League One.
The chance of Armstrong heading back to St James' Park was even touched on by striker partner Jacob Murphy in one of the Twitter links below.
Armstrong opened the scoring at the Alexandra Stadium in the 11th minute when Murphy, on loan from Norwich City, dispossessed Crewe's Jon Guthrie before feeding his Sky Blues teammate who duly fired beyond Ben Garratt with a well-taken left-footed effort.
Armstrong then turned provider to make it 2-0 just before the half-hour mark with his lay-off finding Murphy who, not to be outdone, produced a stunning curling effort from range to send the visiting fans into raptures.
Coventry were soon three goals to the good when Armstrong converted from the penalty spot after Romain Vincent had been clattered into the back of before completing his hat-trick on the stroke of half-time when he showed grit and determination to chase down a ball, speaking in front of James Jones, and advancing into the area to fire home.
Coventry managed one more goal to wrap it up in the second half, with Murphy rifling home an angled effort rom just inside the area, after receiving a nice ball from James O'Brien.
Check out the highlights of Armstrong and Murphy below:
"I hope @AdamArma9 stays, we're moving in the right direction with him." - @JacobMurphy95. https://t.co/IQhGcYtYCtpic.twitter.com/7598AIxz9p
— Coventry City (@Coventry_City) January 4, 2016
Proud moment today getting my first senior hatrick! Hopefully first of many! Thankyou for all the messages pic.twitter.com/JsoJQeuhNt
— AdamArma (@AdamArma9) January 2, 2016
@AdamArma9 finally got his hatrick, proud! Ledge 5-0 win and a little brace for myself! Unreal support guys #PUSBpic.twitter.com/7WNMxm7bDe
— Jacob Murphy (@JacobMurphy95) January 2, 2016
By Joe Baker and Andrew Slevison
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