The news of Wenger staying will not be confirmed, until a board meeting after the FA Cup final against champions Chelsea next Sunday.
Speaking in his autobiography "Sober", serialised in the Sun, he said: "Arsene is essentially not a coach - and that is the second reason why I believe he didn't want me".
"I am respectful to everybody".
Both players have only a year to run on their contracts and have been the subject of much speculation, but Wenger defended the commitment of both stars. But Laurent Koscielny is doubtful with a calf problem and with the FA Cup final looming, the French centre-back may be rested. His first foray into management took him to Wycombe prior to spells at Portsmouth and Azerbaijan Premier League side Gabala.
"The most important thing is to win the football game".
"He's a great who changed the game, in terms of the way people think about football, with his scientific approach and the way he developed his scouting network in France and Africa many years ago".More news: Bobby Moynihan leaving "SNL" for new CBS sitcom
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Wenger said he was yet to make a decision on the availability of defender Laurent Koscielny, who missed the last game with an Achilles injury. And like you have made a career as a player somewhere, it doesn't give you any divine right to come back.
Although Arsenal should be held to ransom over the wage demands of the two players, and they should be willing to move on from them if they see fit, Keown's critique of the duo is entering a risky territory, a territory which we have, painfully, seen before, where the best players leave and replacements are not found. You have to be needed.
"They've got no choice at Arsenal because this is all they've left them now: to not go".
Arsenal must win their final game of the season against Everton on Sunday and hope that Liverpool fail to defeat Middlesbrough if they are to have a chance of qualifying for the Champions League.
But the 67-year-old is more focused on beating the Toffees than on his own situation - highlighting his point by having one final dig at Adams.
"After that, what happen to me is less important". If we finish the job well, it can be maximum one point short. "I'm not here for personal glory or to sell books, I'm here to do the job".