The Emirates boss is under fire after his side's run of four games without a win saw them slump to seventh in the table.
Gunners have gone eight years without winning the Premier League and six years with no silverware at all.
But Wenger hit back by taunting rivals Liverpool, who have not lifted the title since 1990.
He said: "I don't look at the table. Never. It's very tight, it's like that.
"We are in January and it can happen that we are seventh. But we are in a competition with Liverpool, who have not won the league for 22 years.
"You have always to be humble and fight hard and support your team.
"I believe that we have played some great football this season and we have to focus on that. Football is a happy moment where people come together to watch the team they love.
"I am here to make all of the fans happy and when I do not manage to do it I am, of course, not happy.
"What is most important is that we have our fans happy at the end of the season.
"I know it is always a depressed job to judge the immediate situation, but we have a longer target — to go until May with a determined attitude with belief.
"Overall I feel this team is strong mentally. We are ready for a fight and that is the most important thing."
Arsenal have never failed to qualify for the Champions League, But they face Blackburn today five points adrift of fourth-placed Chelsea and a massive 12 behind bitter North London rivals Tottenham.
The Frenchman added: "It is a worry because nobody guarantees you will be in the Champions League.
"Nobody has been in it more than us. We have played 15 years on the trot in the Champions League and we play AC Milan in the last 16 in 10 days' time.
"My wish is that the next 16 years will be exactly the same for the club and the fans will be happy."
Wenger also blasted the Emirates boo-boys who have targeted Andrey Arshavin.
The Russian skipper was linked with moves back home to Anzhi Makhachkala or Zenit St Petersburg this week.
But Wenger said: "I understand everybody's frustrations, but there is a difference between frustration and lack of respect.
"Things can change quickly — villain today, hero tomorrow. And when you are a good football player like he is you can always come back."