"It's winding me up - it's an absolute joke," he said.
"It was one giant going to another giant. Of course celebrate, but it’s nonsense all of these team pics in dressing rooms - normally you have them with a cup!
"It's nonsense and they need to stop doing it."
Carragher did reserve praise for the Gunners though, in particular manager Arsene Wenger.
This is for the MNF fans - we couldn't have done it without you. One for the mantle piece!! pic.twitter.com/ge8U9E4dCK
"I was shocked Arsene Wenger went with those tactics," he added.
"They were more disciplined and a compact unit.
"They stopped David Silva and City's other creative players. There was nowhere to go and no space to get into the pockets.
"Arsenal got men behind the ball. Aaron Ramsey was going out to engage and Cazorla stopped the ball going into attacking players. They sat deeper with [Francis] Coquelin behind the midfield."
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