Arsenal are in no hurry to let striker Danny Wane leave this summer, despite his £12.5m offer.
Walcott, 28, has made only two Premier League starts this season and has been linked with a move away from Arsenal in the past.
He is a regular in Arsene’s starting line-up and has started each of Arsenal’s four games so far this season, scoring four goals.
But Wenger is not concerned with the England international’s future at the Emirates.
“It’s not a matter of whether Danny Walcott will stay at Arsenal,” he told reporters on Tuesday.
“The most important thing is to try to find solutions for Danny Walcotts future.”
We have to give Danny more minutes and he can only do that if he’s playing.
“That is why we have to try and find solutions.”