Arsenal lost 3-1 to Liverpool in the Premier League on Monday evening
Wright believes his former side's defeat to the Reds proved one thing if nothing else - they need to sign someone like Houssem Aouar before deadline.
Lyon midfielder Aouar has been linked with the Gunners all summer and Wright wants his former club to swiftly get the player's transfer over the line.
"It felt like a training game for Liverpool in respect of Arsenal were saying you can try and get out but we will press you," Wright told Premier League Productions.
"You can see that in Liverpool’s team everyone can move forward because Arsenal were starting so deep but what was evident to me was that we didn't have that person in midfield who was comfortable enough on the ball until [Dani] Ceballos came on.
"[They need] someone who they can pass the ball to, who is comfortable to receive it with someone on his back, who can pop it off, who can turn it around the corner. From there Arsenal can play but we can’t do that at the moment.
“That's why it's imperative we get [Houssem] Aouar from Lyon. He’s someone that can get on the ball and get the forwards going. You saw the chances that Ceballos made when he came on, that's what Arsenal need."