The veteran midfielder lifted the MLS Cup on Sunday evening but his deal with the American side expires at the end of the month, with interest high in the Englishman
The 36-year-old former England captain won his first title in the United States on Sunday. However, his future remains far from certain, with his five-year contract at the Home Depot Center due to expire next month.
There has been talk about a move back to Europe, in particular to Ligue 1 with Paris Saint-Germain, but Beckham remains a Galaxy player for the time being.
"I might talk in past tense [about the Galaxy] but it doesn't mean I won't be back," Beckham told reporters. "In my first year at Real Madrid, I was linked to a move to Chelsea every week."
He also maintained that despite the options available to him, he was still a Galaxy player at the moment and reflected on his five years in Southern California. The Galaxy could still play a few more games with Beckham, having scheduled a tour of Australia and Southeast Asia from Nov. 30 to Dec. 6.
"There are a lot of options, but at the moment I am a Galaxy player. I've been a Galaxy player for the past five years," he added. "Whether I stay or not, I've had an amazing five years."
Goal.com UK reports that despite Beckham having plenty of options, Paris Saint-Germain was the frontrunner to sign the 36-year-old after Tottenham had distanced itself from a deal with the player.
"Beckham trained brilliantly during the New Year but it's just not a deal that makes sense,” a Spurs source told Goal.com UK. "Harry and Daniel Levy would both like to do a deal but the fact is we have Aaron Lennon, Rafa Van der Vaart, Steven Pienaar and Niko Kranjcar who can all play that position."
Beckham played a key contribution in the 1-0 win for the Galaxy, combining with Robbie Keane to set up former Everton loanee Landon Donovan to score the only goal of the game, earning the club its first title since 2005.
It had been mentioned that without a win, Beckham's time in Los Angeles would be viewed as far from successful, but that's not an opinion that the player shared.
"This has just topped it off tonight. It's always nice to have doubters along the way and always nice to prove them wrong," he continued. “A lot of people said if we didn’t win tonight it would have been an unsuccessful five years. It’s nice to keep a few people quiet.”
Alex Labidou contributed reporting to this article