The 20-year-old moved to the club a year ago from Charlton and played 14 times in his debut season at the Emirates Stadium.
Jenkinson has played in all three of the Gunners' Premier League matches so far this season, playing his part in helping them keep three clean sheets, and has set his sights on making a sustained impact at the club.
|33/1||Carl Jenkinson is 33/1 with Bet365 to score first in Arsenal v Southampton
"Coming here last year I felt a bit blown away with everything. This year I've come back and felt like one of the boys.
"It was different this year and it was nice because you like to feel comfortable and part of things. I'm happy with things at the moment and hopefully we just move on from here.
"My ambition for my whole career is to play for this football club. I want to be good enough and make my mark here. I won't be happy until I'm playing week-in, week-out. That's what I want to achieve."
Next up for the north London outfit is a home clash against Southampton, who are looking for their first Premier League win of the season.