It was Arsenal’s second defeat in the West Midlands in five days, having suffered a 2-1 loss at Wolves on Tuesday in which they had both David Luiz and Bernd Leno sent off.

Arteta said of the display against Villa: “Really strong performance. We completely dominated the game, we dominated every department, and we should have won.

“But in the Premier League when you give a goal to the opponent – and we gave them another three opportunities to be fair, just giving them to them – and then you are not ruthless in the opponent’s box, you don’t win games.

“The rest, the way the team played, the energy and quality they showed, the amount of chances and situations we created, how quickly we regained the ball, how we controlled long balls, second balls, how aggressive we were in our duels – incredible. But it wasn’t enough to win the game.

“That (more ruthlessness and not giving anything to the opponent) is something we have to do better, and it cost us two games in the last few days because the reality is we should have won both games.”

Asked how big a setback it was in terms of Arsenal’s push for Europe, Arteta said: “A big blow.

“Because considering the performances we put into both games, we got zero points out of that. And the sadness (is) we just give the opponent the game. But we have to come back. We’ve done it this season and we have to do it again.”

Arteta declined to say what he had been speaking to the officials about at the end of the game, and said he preferred to “stay on mute” after being asked about an incident in which Villa’s Ezri Konsa was yellow-carded for a foul on Bukayo Saka, and another involving Martinez and Alexandre Lacazette.

When asked again about the former incident, he said: “As you could see, I was really animated for a few decisions, and one big decision that I will not discuss here, but it is what it is.

“It’s not an excuse – regardless of the decision, we have to win the game. It’s as simple as that.”

Arteta also said midfielder Thomas Partey had gone off with a “muscular issue” and would be assessed.

Villa boss Dean Smith – whose side were thwarted by Ryan on several occasions in their search for a second goal – said: “I’m really pleased – a good solid performance and victory, and deserved as well.

“Really pleasing, and probably the polar opposite to our performance on Wednesday (in a 3-1 loss to West Ham), where I didn’t think we looked a good team.”

Smith also gave his view on the Konsa-Saka incident, saying: “If you look back at it, it was a foul on Ezri Konsa – he gets a yellow card for getting fouled.

“There’s never been a red card there, you can’t get a red card for getting fouled yourself. I thought they got that decision wrong, it should have been the other way.”