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The two clashed heads in a sickening blow early on as Wolves beat the Gunners with the Mexican rushed to hospital.
A bloodied Luiz played on though was eventually substituted at half time, with many thinking he should have been brought off earlier.
And Arteta, who insisted protocols were met, has revealed that Luiz played on despite being in discomfort.
Arteta: “David is OK. He has a nasty cut and he was conscious. They did all the tests for him, he was completely fine, but he wasn’t comfortable playing with that.
“Obviously really worried for Jimenez because it looked really nasty. When you see the reaction of the players, that concern, you know that something bad is happening.
“We would like to send him our best wishes, his family as well who are probably suffering, and we hope it’s not as bad as it looks.
“First of all, the doc has to check [Luiz], there’s a protocol, they have to check he hasn’t lost any consciousness, which he didn’t.
“They have some tests they have to do before putting him on the pitch, then David was just concerned about the cut, nothing else.
“They will continue to do some checks, obviously, in the next few hours, but he was fine.
“He was really uncomfortable, he could not really head the ball and obviously a central defender that cannot head the ball cannot continue playing football.”
The defeat was Arsenal’s fifth of the season with Arteta adding: "There are no excuses, we have to improve.
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"We need more goals to win football matches. We need to keep supporting the players. All players go through [tough] periods.
“We're creating chances but struggling to score goals. That's the difference between winning and losing.
"When you lose matches the confidence goes down because they believe things can happen again. You need to win after a defeat.
“We've been doing this in my time here. This is the first time since we've been here [that they've had a losing run]."