Although Emery's side embarked on a run of 12 wins in 13 games thereafter, they continued to begin hesitantly, with 26 of their 34 goals in that spell arriving after the interval.
The Gunners are looking to finish in the top four for the first time since the 2015-16 season following two hard years at the tail end of Arsene Wenger's rein.
"It was clear Arsenal was in a very good moment", said Klopp.
"They've brought in many players to play in that position over the years to nearly make things tick".
It's the reason that at the end, I think 1-1 is a good result for how we did in the 90 minutes after 1-0 when we are losing and it's the reason we are happy 50 per cent.
However, TV replays showed that the goal should have counted, as Mane checked his run to remain behind the ball when Firmino squared it across the box. He was bold and was rewarded. "I was actually waiting for Robin van Persie and Dennis Bergkamp".
Emery, while insisting that a point is never enough, admitted Arsenal's performance against Liverpool showed good progress is being made at the Emirates.
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According to the same story, the Welsh midfielder has accepted that this will be his final campaign as an Arsenal player after a 10-season career at the north London side.
Arsenal is four points off the pace.
Jurgen Klopp's side go back to the top of the table for now but will be two points behind Manchester City if the champions beat lowly Southampton on Sunday afternoon (Monday morning AEDT), while Chelsea can also go above them with three points against Crystal Palace.
Arsenal haven't led at half-time in any of their 11 Premier League matches so far this season.
Arsenal's resurgence is not exclusively down to the summer signing of the 22-year-old from Sampdoria. It was a ballsy switch from Emery but in keeping with his approach. Emirates Stadium is transformed, no longer a theatre of pain, but somewhere that once again resembles a football stadium.
Both sides had first-half efforts ruled out for offside, Liverpool's a more contentious call as Sadio Mane saw his celebrations cut short.
Liverpool were left "very disappointed" after Saturday's 1-1 draw at Arsenal, with James Milner calling for a "more ruthless" edge ahead of their trip to Red Star. "The characteristic each player has is important, and Iwobi can impact on the match", Emery said. "That's pretty much all, it [the support] was only for protection - the pictures you saw were only protection and it has no influence".
"Nobody gave them presents and gave them points".