The North Londoners have taken just four points out of a possible 15 so far in the Premier League and conceded two own goals in a 4-3 defeat at Blackburn Rovers on Saturday.
Wenger, who marks 15 years as manager next month, is enduring one of the worst sequences of his career in England, with Arsenal 17th in the league and just a point above bottom club West Bromwich Albion.
"Arsene Wenger is not broken. To see him portrayed as an idiot is damaging, not to him or the club but to the game," he told the BBC.
"[Sacking him] is a route we are not going to go down. He didn't suddenly become a bad manager or out of touch. That's nonsense."
"If we get into short-termism we will do more damage to the club. He [Wenger] is frustrated but very, very focused on putting things right and is as positively engaged as ever to drive the club forward," he added.
"The club is not in crisis. There's no division in the club. We work together.
"The club is focused on a responsible, sustainable model," said the chief executive. "Football's going that way and people are trying to get where we already are. We represent the future of football.
"We will be unmoved in the way we do things and will not be swayed by talk of a crisis."
Alex Song and Laurent Koscielny were responsible for Arsenal's own goals against Blackburn.
"Our season depends now on how well we respond to this disappointment and how quickly we can cut out the mistakes we made on Saturday by giving away goals that we should never give away," Wenger told the club website.
Wenger detected a "lack of concentration, a lack of communication, a lack of coordination and individual urgency" in some of his players.
