The Chilean's side are now two points behind Premier League leaders Chelsea, with two games in hand, after securing a point against Arsene Wenger's men
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David Silva’s opener had put City on course for their fifth straight Premier League victory but Mathieu Flamini rescued a point for Arsene Wenger’s men.
Despite failing to fully capitalise on Chelsea’s defeat at Crystal Palace, Pellegrini’s men are now two points behind the Premier League leaders with two games in hand.
"It's a good week," the City manager said. "I think that four points against Manchester United and Arsenal, both away, is a good week for us.
"Of course we would be more happy if we won today, but I think it is a good week.
"Arsenal had a better second half, but with no chances to score except the goal.
"In the first half we had at least four clear chances to finish and maybe we could have finished the game before.
"I think today our team made a good performance. It's not easy to come here and beat Arsenal.
"All of us want to win all of the points, but I think we did a good performance against a very difficult team."