The Gunners chances of reaching the Champions League quarter-finals were hit when they lost 3-1 to Bayern Munich in the last 16 on Tuesday.
This followed a fifth-round FA Cup exit at the hands of Championship Blackburn.
"We need to be united and strong and not be too destabilised by people who have strong opinions after one game," he said.
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."
It is understood that Wenger's position is not at risk , even if they fail to qualify for next season's Champions League.
The club held their monthly board meeting on Thursday and Wenger says that it was "the usual thing".
"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."