The Gunners suffered FA Cup defeat by Manchester United on Saturday.
“It will strengthen our resolve at home,” said Wenger when asked about the title race.
“The Manchester United game [in the Premier League] is only important if we win our games before that.
“I am convinced that if that game is decisive, we have a good chance to do it at home.
“Before that, it’s important we respond very quickly. We go to West Brom on Saturday, we will see the first signs of how we recover.”
He added: “I believe that we can do it. It is a good test for us now, to show that we can regroup, show our mental strength and respond quickly.
“We have a week without a midweek game, that is the first time for a long time.
“You will find out. We will have to [answer] this type of question in the next few weeks. We have to show that we have an answer to that.
“We are used to being questioned by our environment, we have to show we are strong enough to deal with that.”