Wenger wasn't happy. He was dismayed with a couple of decisions that had gone against Arsenal in midweek in the Everton match and said after the City game that referees are "protected like lions in a zoo".
Coming away with nothing again had seemed inconceivable after an opening 45 minutes which Arsenal dominated, taking the lead on five minutes when Theo Walcott seized on Alexis Sanchez's weighted pass to round off a thrilling three-man move.
"But we were caught cold in the second half and we dropped physically".
It was City's first win from a losing halftime position at the Etihad since 2012, although manager Pep Guardiola refused to take the credit, saying "I didn't say anything to them at halftime".
The hosts were still without the services of Sergio Aguero and Fernandinho.
Despite the improvement after the interval, Guardiola said he had left it up to the players fix it themselves.
What will concern Guardiola, though, was the manner in which his defense was opened by Arsenal for Walcott's goal.
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Guardiola got back to his feet, dusted himself down and gestured to his team to keep going.
City suddenly looked confident as Arsenal dropped deeper and deeper and only a good save from Cech at his near post denied Sane a second following De Bruyne's throughball.
City flickered into life in the closing stages of the first half, with a low cross by Leroy Sane creating havoc inside the Arsenal area before the ball was put behind and Petr Cech dealt with the corner.
De Bruyne nearly reached a teasing Sane cross and Yaya Toure headed a corner straight into Petr Cech's grasp, but Alex Iwobi drilling the ball into the net after Nacho Monreal had been flagged for offside offered a glimpse of the threat posed by the Gunners on the break.
Silva clipped a first-time pass over the top for Sane - who may have been slightly offside - to race clear and sidefoot home for a first goal in his 13th appearance for City. It was similar to the game against Chelsea - then we played well and lost, and today [Sunday] we won.
Gunners goalkeeper Petr Cech, who was beaten at his near post as Sterling cut inside from the right to strike victor, was also unhappy about the winning goal. "(We need to) be there as much as possible and wait for the opponent to fail". De Bruyne was growing in influence and it was his stunning pass that set up the victor.