The club had been linked with resigning their former forward on loan for the second season in a row.
After the 1-1 draw with Southampton, Wenger said: “I think Thierry goes away somewhere. He is not ready. He has just come back from holiday so at the moment we are not on that case.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.