Leading 2-1, the Gunners conceded a 97th-minute equaliser to the 10-man hosts after Martin Skrtel rose highest from a corner, but Wenger was not too downbeat by the result.
Liverpool had 27 attempts at goal on Sunday, but the draw leaves Wenger’s side in sixth, four points off the Champions League places heading into Christmas.
Wenger told Sports: “It was an intense game. We have to regret conceding a set-piece in the last minute but overall it’s a fair result.
“We were just not spontaneous enough in our game. We played a little bit with the handbrake on.??
“It was important for us to come back, especially after having not played our usual game in the first half. To be level at half-time was a good result.”
The Frenchman admitted his side had February’s devastating 5-1 defeat at Anfield in the back of their minds in a slow opening 45 minutes, but was delighted to find them level against the run of play at the break to set up a better performance.
“Last year was big in our mind,” said Wenger, “[In the first half] we lost too many balls and the flow was not there. Second half was better, and at 2-1 up and after that we had a few chances.
“My first job is to win the games and if you can win the games and be fair, that’s even better.??
“When you’re 2-1 up with minutes to go, you want to win the game but overall 2-2 is a fair result.”