In a interview shown on British television, the midfielder added that he would not have any more loan deals after two spells at AC Milan, where an ankle injury in the second stint forced him out of the reckoning for a place at the World Cup in June.
Beckham's Galaxy contract runs out next year and although there is the option next month of buying out the final 12 months of his deal, he said he was content to stay until 2011.
"I'm definitely going to be here (in Los Angeles) for the rest of my contract," the former Manchester United player said. "My sons go to school here, we're all happy living here, so I can't see us moving."
"Of course I would always love to be available for my country. Everyone knows how passionate I have been for my country over the years so I would love to continue to play.
"Whether I do or not, that is obviously down to the manager and obviously down to myself to perform.
"The future is for the young players as we have to think about the (2012) Euros but no one player is out."
Beckham, who left Real Madrid for Galaxy in 2007, scored for the LA club in the 2-1 win over FC Dallas on Sunday that earned them their second successive Western Conference and the Supporters' Shield for MLS's top point-scoring team.
"I would love to say that I'd be able to but with the injury that I've had you have to give it a certain amount of rest," he added.
