The 26-year-old completed a £8.7m move to the Gunners from Malaga on transfer deadline day, following in the footsteps of his compatriot and former team-mate Santi Cazorla.
The Spain international spent one-and-a-half seasons at Malaga but failed to win a trophy, and Monreal is hoping his fortunes can change at the north London side.
“I’m asked to defend well and not so much to score goals,” he told the Sun.
“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.”