Negotiations between Walcott and the Gunners have been ongoing, with the most recent twist in the saga being the omission of the 23-year-old from the the club's annual calendar.
And Wenger cut a frustrated figure as he spoke to reporters ahead of his side's clash with West Brom on Saturday, insisting that he wishes the former Southampton player would make a decision on his future once and for all.
"I have no news. I am frustrated," he told reporters.
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"He knows what I want and he has to make up his mind."
Right-back Bacary Sagna was also left out of the team calendar, but the Gunners's boss maintained that any reports linking him with a move away from the Emirates are untrue, in spite of the fact that the 29-year-old is yet to agree a new deal.
"I don't understand the speculation," he added.
"He has one and a half years on his contract and we are in positive negotiations."