The Arsenal manager has come under increased pressure after a 3-1 home loss to Bayern Munich in the Champions League in midweek.
With the Gunners on the brink of Champions League elimination, a top-four English Premier League finish is likely to offer their only hope of returning to the competition next season and they look set to go an eighth season without winning a trophy.
Arsenal has long been out of the title race and faces an uphill battle to overhaul north London rival Tottenham to get back into the top four.
The Gunners' healthy financial position means that it would not be a disaster in money terms for the club to miss out, but Wenger is refusing to consider that scenario.
"We want to be in the Champions League," the Frenchman said.
"Financially we can live with [not qualifying], but on the sporting front, no. And the sporting front is the priority."
FA Cup and Capital One Cup exits against lower-league opponents have also marred Arsenal's season, but Wenger, whose side hosts Aston Villa on Saturday (2.00am Sunday AEDT), believes his players can regroup and have a strong end to the season.
"What we need is to be united and strong, and not to be destabilised by people who have strong opinions after one game," he said.
"I believe what is important is that the club always goes with the guidelines we have and does not change direction every time we lose a big game, that would lead to a disaster.
"A bad period for a club is also a good opportunity to show how united and strong you are. We have a good history of that at Arsenal."
The club's regular board meeting was attended by majority shareholder
Yet Wenger insisted it was very much a case of business as usual.
He said: "The meeting speaks about many things: commercial, ticket prices, long-term plans. I make my report as well on the technical side, so it was the usual thing.
"Of course we had no euphoria because we have gone through a disappointment on Tuesday night, but apart from that we are responsible people who know what it is to fight."
Wenger is expecting a response from his team on Saturday, when full-back
"We know we are in a position where we cannot afford to drop points and we will go into the game with a huge desire to get out the disappointments that we recently had," he said.
"We want to come back in a strong position in the Premier League. I feel apart from Manchester United, it is very open for all the other positions.
"So it is down to us to continue to be consistent like we have been in the Premier League."
Despite Villa's troubles at the wrong end of the table, Wenger expects a tough test at the
"We have to prepare ourselves for a battle," he said.
"They are fighting to avoid relegation and it is a typical Premier League game. There is no easy game for anybody."
The 63-year-old reacted angrily earlier this week when it was reported in the media that the club had already opened talks over a new deal.
And again Wenger was unprepared to look too far into the future.
"I have a contract until the end of 2014 and at the moment we are on a short-term plan," he said.
"This is for two reasons: because I am here for a long time and as well I have to consider what I want to do. That will be decided in 2014, not before."