Germany international Podolski has 101 international caps at just 27 years of age, and agreed a deal to arrive from Koln before the club season had ended.
25-year-old Giroud, meanwhile, enjoyed a breakout season as he scored 21 league goals to help Montpellier win Ligue 1 and earn a place in the France squad for Euro 2012, before signing for the Gunners after Les Bleus exited the tournament.
"They are two world-class players, they are fantastic signings and fantastic assets for this club," Jenkinson told the club’s official website.
|LU-LU-LU, LUKAS PODOLSKI|
|33/1||Lukas Podolski is 33/1 with Bet365 to be the Premier League's top goalscorer in 2012-13|
The 20-year-old right back started the club's first pre-season encounter in the Markus Liebherr Memorial Cup, as Arsenal faced Anderlecht and Southampton in two 45-minute matches at St. Mary's Stadium.
Jenkinson crossed for Henri Lansbury to score the winning goal in the club's 1-0 victory against Anderlecht, with the Gunners going on to win the tournament, and felt that they benefited from the game time provided in the pre-season warm-up games.
He added: "It was nice to get an assist. I always try to get as many as I can, so it was good to get one here.
"Against Anderlecht it wasn't like we dominated, but I felt we were in control and got that vital goal. But the main thing though was getting minutes under our belts at this stage in pre-season."