Sanchez's future has been in doubt for several months as contract negotiations with Arsenal have failed to result in an agreement.
Gunners both Wenger expects the forward to remain in North London and see out the remain year he has left on his deal at the Emirates ahead of the upcoming Premier League season, as per the Sun.
The Frenchman spoke just yesterday about how he was feeling "positive" over the situation, despite no sign of the former Barcelona man signing a new contract. "My thoughts are always positive".
The veteran Gunners trainer also revealed he was not expecting Sanchez till the end of the month, having granted him an extended holiday to recover from his exertions with Chile in Russian Federation. "There's not a lot to resolve at the moment with the player".
"Usually you need three weeks but they will have a programme and can be involved after one week to ten days, and play a part in games".
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"You can not tell them that they are not having a holiday and must come back and continue, it's impossible", Wenger added.
Jack Wilshere is another Arsenal player whose future appears uncertain.
Wenger also said he believes Jack Wilshere, who spent last season on loan at Bournemouth, will remain an Arsenal player next season, despite interest from Sampdoria among others, according to Sky in Italy.
Arsene Wenger is confident Alexis Sanchez will stay at Arsenal after a "positive" conversation with the star.
"You can't tell them they are not having a holiday and must come back and continue, it's impossible".