Jenkinson says it is a great personal achievement to be where he is but will certainly not take it for granted.
"Sometimes, I just have to take a step back and really appreciate where I am," he told Arsenal Player.
"From me to come to where I was to playing in the Premier League is obviously a big achievement for me.
"But the main thing I have to pinch myself about is that I'm actually playing for Arsenal.
"I can't really portray how special that is for a fan of the club and for someone who comes from a family that loves Arsenal so much.
"It's just a great thing to be becoming a part of Arsenal's history. Long may it continue."