Emery knows a win at the Estadio Jose Alvalade will put Arsenal within touching distance of a place in the knockout round, and he said: "For us this competition is very, very important".
Unai Emery appealed for supporters not to get carried away despite a world-class performance from Mesut Özil that helped Arsenal make it ten victories in a row.
"When you improve your demands are very high". We need to control the matches more than we are doing now. The latter end of the first half and the entirety of the second saw Leicester struggle for any real momentum as Arsenal's quality began to fully shine through. "This feeling together is very good".
Cascarino wrote in his column for the Times: "It is quite clear to me that Arsenal are working incredibly hard on the training ground under Unai Emery".
Though Arsenal carried the momentum into the second half, it was Leicester which nearly regained the lead as Wilfred Ndidi's header hit the crossbar.
It took the Gabon striker less than two minutes to make the difference, sweeping home from close-range after Ozil's ideal pass allowed Bellerin to send in a low cross.
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Out of teams in the top half of the table, Arsenal only have wins over Watford and Everton so far. While the Gunners were lucky to have 11 men on the field after they survived a very contentious penalty shout against them, the Mesut Ozil inspired side went on to grab all three points.
After a shaky start from the Gunners, Leicester took the lead through a Hector Bellerin own goal but Ozil - back in the side following a back spasm - turned home an equaliser on the stroke of half-time.
Because, although I do not almost see Emery's team in the same tier as City, Liverpool or Chelsea, over the next few weeks, I could very easily change my mind.
Ricardo Pereira of Leicester City and Alex Iwobi of Arsenal during the Premier League match between Arsenal FC and Leicester City at the Emirates Stadium on October 22, 2018 in London, United Kingdom.
German ace Ozil was pivotal to Arsenal's fightback, providing the assist for Pierre-Emerick Aubameyang's first goal two minutes after coming on in the second half.