Beckham's future is up in the air with his five-year contract due to expire next month, but he insisted that had not affected him in the build-up.
"Not at all," he said on ESPN. "I play the game to win. Whether I stay or not, I've had an amazing five years.
"I've loved it here. The fans have been unbelievable, the owners, the players... every one of them are heroes tonight. They've been incredible all season and this has capped it off.
"And winning feels exactly the same wherever you are. It doesn't matter where I'm playing, what country, what club it is, but when you are successful and winning trophies they all mean the same thing."
The former Manchester United and Real Madrid midfielder said at the pre-match press conference that winning an MLS Cup title would not be a factor in his decision to stay or go, and he reiterated that stance at the final whistle.
"I've said that all the way along," he said. "It doesn't matter what happens at the end of the season. People were talking about if we didn't win tonight it was going to be a disappointment and an unsuccessful five years. It's quietened a few people, which is always nice."