The 25-year-old has returned to football for the first time since coming out as gay earlier this year, although Chicago Fire still hold the midfielder's registration
Head coach Bruce Arena has confirmed that the length of Rodgers' stay has not been determined, with the midfielder's rights still held by Chicago Fire.
"There’s a good chance that I might come back to [soccer] but I need a few months to chill out, hang out with my family, go surf in California, just relax," Rodgers told CNN.
Fire coach Frank Klopas has revealed that there has been no discussion with Galaxy over a possible trade, but supported the 25-year-old’s return to the sport.
"Before he came out and his decision we made that move because we believe Robbie Rogers is a very good player, knowing that he would probably at some point leave his team in England. That hasn’t changed," Chicago coach Frank Klopas said, according to the Fire's official website.
"It’s great that he’s back into it. He's a young man with a lot of years left and it's something he loves doing. You can never get that back when its past. His home is in LA and he went to go back and play and I think that’s great news."
Rogers played for the Columbus Crew for five seasons, winning the 2008 MLS Cup, before joining Leeds in 2012. He left the Championship club prior to coming out.