The 20-year-old defender has a host of new players to aim for when he passes forwards at the Emirates this season, with Olivier Giroud, Lukas Podolski and Santi Cazorla all added to the Gunners squad.
Jenkinson told the Daily Star: "The manager knows crossing is one of my strengths and he has asked me to get as many balls into the box as I can.
"But, at the same time, he has told me not to cross for the sake of it. It is an asset of my game and one I like to use.
"We like to keep the ball moving and create goals in different ways but crossing is a strength that I like to use when I can."
Jenkinson is likely to start at right-back in Arsenal's opening Premier League match against Sunderland on Saturday, August 18 as French international Bacary Sagna continues his comeback from injury.