Ozil has received criticism since Arsenal’s 3-0 loss to Manchester City at the Emirates on Sunday, and reacted angrily after being substituted just before the hour, kicking his gloves after walking slowly off the pitch.
Dublin has questioned why Ozil was angry at being substituted, insisting he should not expect anything else.
“I don’t get what he’s expecting,” Dublin told Premier League Productions.
“If you don’t run around and you don’t contribute to your side at home, in the No 10 shirt, for Arsenal, and you’re getting paid whatever you’re getting paid, and you do this, you throw your gloves up in the air and kick them, I don’t know.
“Have you got to stay on because you’re not contributing?
“I don’t care how good you are, if you don’t run around, you don’t deserve to play as a professional footballer, if you don’t run around.”
Kevin de Bruyne scored a first-half brace and Raheem Sterling notched another as City ran out comfortable winners in north London.
And Dublin says it was no different to what Arsenal fans would have expected.
“Everything that Arsenal displayed in that game is what all the punters expect of Arsenal now,” he added.
“Spineless, no bravery whatsoever, no leaders on the pitch. Going forward we know they can be brilliant, they can score goals.
“The belief can be gone and the confidence can be gone but there’s still a lot of quality in that Arsenal dressing room.
“There are five or six players that you think ‘Do you know what? They can affect this game’.”