The 26-year-old Spaniard switched to the Emirates for £8.7million from Malaga on transfer deadline day.
Since his arrival at left-back, the Gunners have kept a clean sheet against Stoke and Sunderland and Monreal is determined to help his new club succeed.
He told The Sun: "I'm asked to defend well and not so much to score goals.
"When I go forward and assist others, it is as if I have scored, so that is a great satisfaction for me.
"I am a committed person and so give 100 per cent in every game.
"That is the best attribute a footballer can have: that every Saturday you give everything you have for your team."
He added: "I cannot complain about my career but I would like to win a trophy - and I hope I can do this with Arsenal."
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