The Portuguese's first trip across the city will live long in the memory, with the match ending in a 2-1 comeback win just as Thursday's Europa League trip to Viktoria Plzen did.
Josko Gvardiol's header had City on course for a much-needed win until the 88th minute, when United captain Bruno Fernandes silenced the Etihad Stadium from the spot.
Amad Diallo won that penalty and then conjured up a memorable 90th-minute winner as Amorim's first Manchester derby ended in his biggest result since succeeding Erik ten Hag last month.
"It's been a difficult start to the season for us and not much for our fans to cheer about, so today's for them," defender Maguire said.
"It was a great performance in the end to come here and have 50-50 of the ball, have the same amount of shots as them.
"It's not been like that in recent years, so it's an improvement but still a long way to go."
Asked how big the win could be in the early stages of Amorim's reign, he said: "Winning football matches is really important. When you play for this club, it demands winning.
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Denne historien er fra December 17, 2024-utgaven av Manchester Evening News.
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MAGUIRE ON THE 'POSITIVE JOURNEY' UNDER AMORIM
HARRY Maguire felt Ruben Amorim's new-look United made a statement with Sunday's stunning derby turnaround at City.
Media frenzy over team being leaked is a familiar story for those at United
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Guardiola reflects on derby defeat, City's dismal run and a club rebuild
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IT'S EIGHT DEFEATS IN 11 BUT THIS WILL STING MOST...
PEP Guardiola turned to his bench and covered his face with his hands.
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