The Gunners tackle the Merseysiders in the quarter-finals of the UEFA Champions League this week.
However, when all is said and done, The Gunners' tactician feels the team that demonstrates the greater mental strength will emerge victorious in the end.
"Of course we would like to win the home game on Wednesday, but 0-0 is never a disappointing result in the first leg," explained Wenger.
"We have seen many times that it puts the other team under huge pressure in the second game because they are in two minds. They don't really know whether to go for it or to sit back and wait - it gives you every chance.
"But it is true that Liverpool have 12 men at Anfield. Their crowd have played a big part in their European success, they have turned so many games because the rules are different in Europe.
"In this sort of game between two English teams, I feel mental strength will be the deciding factor. This will be a test of character, who wants it more."