By the end of the regular 90 minutes, both teams had only made two subs.
And they used their third, along with a permitted fourth substitute, in the additional time.
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The Carabao Cup quarter-final draw will take place tomorrow
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So the EFL have moved to reassure the Gunners and City that their victories will stand.
They say that the regular three changes can be used any time in the game, with the fourth only allowed if the game is tied after 90 minutes.
An EFL statement read: “A maximum of seven substitutes may be nominated for any match.
“Clubs may use three of those seven substitutes at any time in a match (including extra time).
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“Clubs are permitted to use a fourth substitute if the tie goes into extra time.”
The quarter-final draw of the competition will take place tomorrow (4pm).
Bournemouth, Bristol City, Leicester City and Manchester United have already booked their place in the last eight, alongside Arsenal and City.