The Gunners grabbed all three points against Leicester thanks to Robert Huth's 86th-minute own goal, leaving them four points behind fourth-placed Manchester City in the hunt for the Champions League.
"We're in a positive mood to prepare well," Wenger told TV cameras after the game. "The target is clear for us, just go out and win the game.
"Of course, every win gives you a little momentum, so that's just going into the next game.
"Does it keep us in the race for the top four? Yes, we have one advantage and that is the advantage of clarity,” he said later at the post-match press conference.
"We have to win our games and so that's why every time we cannot be happy with 0-0. We have absolutely to take the gamble to try to win the game at any cost."
Wenger also praised his team for their patience.
"Leicester were hard to break down, we were patient and didn't give many chances away. It could have finished 0-0, but we had the initiative to our game and created some dangerous situations,” he said.
"We played extra-time on Sunday afternoon, and had to give everything. We were focused, serious, and had hunger to win the game. That's what we wanted."
Asked about the controversial incident near the end of the match when Leicester’s Christian Fuchs throw-in hit Alexis Sanchez's head, Wenger said, "I think he didn't know he had to be further away," Wenger said. "He thought he was in the right position. After that he got a yellow card because he didn't respect the rule. I accept that."
The Chilean was booked for not retreating the required distance.