Klopp said this following his side's Premier League 0-0 draw with City at Anfield on Sunday in the Premier League.
'I have learned a few things from him but it is just the start.
"[After] 85 minutes, you obviously get a bit tired, and that moment goes by in a split second and I made a decision to dive in, which is not what I would normally do".
Arsenal have won six consecutive games in the league and sit just two points behind the leaders, with Unai Emery's side in the top four for the first time in 2018.
Liverpool could have lost the one point they gained if Mahrez didn't miss the penalty.
After their pulsating clashes in the UEFA Champions League and the 4-3 thriller in the Premier League in 2018, this affair was more pragmatic with possession nearly equal and big chances also shared evenly. "Maybe next season we will win".
"Up and down they are the best team in the world". Despite having made just one start in a red shirt this season, the 24-year-old is trusting the process.
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It has everything to do with the cultures both men have created at their clubs; as well as the differing levels of difficulty provided by their respective opponents.
Klopp said players need a proper break to be fresher, pointing to the case of Liverpool midfielder Jordan Henderson who played for England at the World Cup in Russian Federation.
Tottenham have come through a hard patch at the start of September to equal their best start to a Premier League season, matching their tally from 2016-17.
"It was a penalty and it shouldn't have happened, but I'm very happy we didn't concede". It is for both teams it was really intense and both showed respect for the other team.
"I'm not talking about that player playing every week".
As I said on Match of the Day on Saturday, what has been happening at United this season has been embarrassing, right through the club.
Yet he was typically tough on himself after gifting the late penalty by diving in on substitute Leroy Sane, with the towering centre half insisting it is lesson he must learn swiftly.
City defender John Stones said the players had decided among themselves that Mahrez would take the kick after impressing with his spot-kicks in training last week.