The Spain international signed a contract extension in January 2016 that will tie him to the club until the summer of 2019, with Arsenal inserting an option to extend the deal for a further year.
"I am very happy at Arsenal and I feel important because Wenger has shown me confidence," Monreal told Spanish newspaper ABC.
"I have two years left to contract, an optional third, and the idea is to stay there.
"I'm aware that football can change but my head is in London. I'm playing and the idea is to carry on."