"We need to be united and strong and not be too destabilised by people who have strong opinions after one game," he said.
David OrnsteinBBC Sport
"Arsene Wenger is facing greater scrutiny than at any point in his 16-year reign. But I'm told the Gunners have absolutely no intention of sacking him - regardless of whether they qualify for next season's Champions League.
"Wenger is contracted until 2014 and while we do not know how long he plans to remain in charge, increased TV revenue and a new shirt sponsorship deal mean significant funds are available to him this summer.
"Arsenal recognise their shortcomings and understand their fans' concerns, but they believe they are putting pieces in place to compete with Europe's biggest clubs in the near future. "
In his news conference, Wenger was asked if he had "felt like throwing in the towel".
He replied: "Never, not one second.
"I have a contract until the end of 2014 and at the moment we are on a short-term plan. I have been here for a long time and have to consider what I want to do. That will be decided in 2014, not before."
"The board meeting speaks about many things and it's about commercial [activities], ticket prices, long-term plans and I make my report as well on the technical side so it was the usual thing."
Wenger urges Arsenal to be 'united and strong'
Arsenal sit fifth in the Premier League, four points adrift of the final Champions League qualification spot, which is currently occupied by neighbours Tottenham.
They face Premier League strugglers Aston Villa at Emirates Stadium on Saturday, looking to avoid a third successive home defeat.
Wenger said: "We are in a position where we cannot afford to drop points. We will go into the game with a huge desire to get out the disappointments we have had.
"Apart from Manchester United, for all the other positions, I feel it's very open. It's just down to us now to continue to be consistent like we have been. We have to focus on continuing to get the points."
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