Emery took over at the Emirates in the summer, replacing Arsene Wenger, and has guided Arsenal to 15 games unbeaten in all competitions.
It come after a tricky start where the Gunners were beaten by Manchester City and Chelsea.
But since then they’ve been impossible to beat, though have struggled to a number of draws recently.
Klopp has improved Liverpool year on year since taking over in 2015, guiding them to the Champions League final last season.
It came two years after they were beaten by Emery’s Sevilla in the Europa League final.
Liverpool are unbeaten in the Premier League this season, and are tipped to challenge Manchester City to the title.
And Emery believes he can replicate the success Klopp has had at Anfield with his Arsenal team.
“Three years ago we were playing with Sevilla against Liverpool in the final of the Europa League and we won 3-1,” Emery told Sky Sports.
“Two years later, they were playing in the final of the Champions League and I think [that] is one good sample for us.
“Maybe we can do the same, or not the same because it’s very, very difficult – they worked very well with Klopp in this progression.
“But we need time, we need work, but also in the football, the new test is the next match.”
Emery joined Arsenal after leading PSG to the Ligue 1 title last season.
And having also managed in Spain, he has revealed the differences between the Premier League and other European domestic competitions.
“I think one of the characteristics of the Premier League is the fact every game is very demanding and you need to overcome that if you want to finish in the top four,” Emery said.
“In terms of the difficulty of the teams, it’s not just the top teams but all of the teams in the league are very difficult because they all have good players and I think that’s what makes the Premier League as far as I know the most competitive league around.
“I think in comparison with the leagues in France and Spain, taking Spain for example, that was a league in which every team was very tricky and it made sure that you needed to know a lot about them.
“It meant that your preparation had to be spot on and it meant that your instructions to the team throughout all 90 minutes had to be very good.
“That was unlike France in a sense that PSG were so superior that the competitive aspect wasn’t so apparent.
“But it’s something I am rediscovering here in England and so in terms of my competitive level, I need that to be very high and I want to convey that to the players so that we get the best out of them.”