The 21-year-old acknowledges he must first establish himself in Arsenal's starting XI before he can nail down a place in the national team
The 21-year-old has started three of his side's opening four Premier League fixtures of the season, which have seen them collect nine points to sit second in the table.
Jenkinson faces stiff competition from Glen Johnson and Kyle Walker for a place in Roy Hodgson's starting XI and admits he must first establish himself at Arsenal before he can target a place in the national team.
"I believe that if I am playing regularly, and I'm playing well, I can be England's right back," he told talkSPORT. "If you're going to break into the England squad you need to be playing regularly.
"First and foremost I need to show the boss [Arsene Wenger] what I can do and show my credentials and that I am capable of playing regularly at this club.
"I believe I'm getting to that stage now where I'm more than ready to take my place and play week-in and week-out at this club.
"It's up to me in training to show what I can do and when I get my chance I need to take it. It is important that I do that, especially in a World Cup year."