The 29-year-old wants his international teammate to join him at the Emirates Stadium, with the Gunners battling with Chelsea for the Real Madrid midfielder's signature
The Real Madrid midfielder is set to be offloaded by the Spanish side in the summer window, with Goal revealing on July 17 that Chelsea has edged ahead of the Gunners in the race to sign him.
And while Podolski, who shared an apartment with Khedira at the World Cup, insists he did not try to convince the 27-year-old to make the switch to Arsene Wenger's side during the duo's time in Brazil, he is keen to see him move to north London.
"I don't have to try to convince Khedira to join Arsenal," he told Sport Bild.
"Sami knows how much fun he could have with me, Mesut Ozil and Per Mertesacker at Arsenal. We had a great time together at the World Cup and I would like it very much if he comes to London."
Khedira's 250,000 euro-a-week wage demands have put off the Gunners, clearing a path for Jose Mourinho's Chelsea to seal a deal, with Juventus having placed a €75 million valuation on the Blues' top target Paul Pogba.
Khedira played five of Germany's World Cup matches in Brazil but missed the final against Argentina through injury.