Jenkinson, who has made four Champions League appearances this season, has revealed that he is excited at the prospect of playing in the competition again.
"I've learned and realised that the Champions League is just the pinnacle of football," he told Arsenal's official website.
"When I was growing up watching the Champions League, it's the competition you dream of playing in.
"The build-up, the song that's played before the game that sends shivers down your spine, everything about the Champions League is just classy. It's where you want to be as a footballer.
"I love playing in it. I've been lucky enough to play a few games in it, and I've enjoyed every minute."
Arsenal face Bayern in the Allianz Arena on Wednesday evening.