They created more chances with Arsenal having 12 and Liverpool 13, but putting it on frame was a struggle for both.
Lacazette had other ideas eight minutes from time.
The suggestion that the North London side will not be able to match the big teams was dismissed on Saturday after the Emery side came from a goal down to level the game in the last minutes of the game. "That shows the character of this team".
Liverpool were also threatening and had the ball in the net moments later, only for Mane's effort to be controversially ruled out for offside.
If you win, it's better, but a lot of matches are very important because three points is the same against Liverpool or against Crystal Palace.
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"Hendo feels really good but it will be probably the start of the week when he will be back in training".
"It's back to back clean sheets, which reinforces our feeling that defensively we're in better shape than we have been", he said this week.
Neither side could find a victor in the closing stages as Arsenal remain four points behind their visitors in the table.
Further forward, the talented but frustrating Mesut Ozil and Henrikh Mkhitaryan continue to blow hot and cold, but the two flair players at least now put a shift in for the team and play with a sense of goal.
The Gunners have a poor recent record against the league's main clubs and head coach Unai Emery spoke of his desire to change that after starting his tenure with defeats against Manchester City and Chelsea.
Arsenal started the game off well, although they failed to take advantage of their early dominance. "Yes, and I do", said Klopp, when asked if he has to ignore City's relentless accumulation of points.
Substitute Alex Iwobi, who was switched across the pitch to the left flank shortly after coming on, slipped a smart pass through to Lacazette, who showed great composure to turn away from Alisson before bending in the equaliser.