City were defending an early lead thanks to Erling Haaland's goal, but conceded in the final ten minutes to Gabriel Martinelli.
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Afterwards, Reijnders said: "Unfortunately, we conceded the equaliser in the final minutes. It was a difficult match: we had a few chances to make it 2-0, but conceding a goal in the last minute leaves us disappointed.
"If you're up 1-0, you want to win, but everyone knows that playing here against Arsenal is not easy. We have to keep working."
Reijnders also explained the assist that allowed Haaland to score: "Initially, I was looking for (Jeremy) Doku, but he had to beat an opponent. Erling was free, so I passed to him."