Beckham's time at the Galaxy lurched into another crisis when he was sent off in Saturday's 2-0 defeat by Seattle Sounders.
The former England captain was given a straight red card for a tackle on the Sounders midfielder Peter Vagenas in the 17th minute. Beckham was booed off the field but he insists there was no maliciousness involved.
"Pete is one of my best friends," he told the club's official website. "I think it's a hard tackle but not with means for a red card.
"I've never gone in one tackle wanting to hurt someone. The referee saw it differently."
Things appeared to have evened out when Seattle also had a player (Tyrone Marshall) ejected in the 76th minute for a reckless foul on Donovan. It was Marshall's second yellow card of the match.
But the Galaxy's Eddie Lewis was shown a straight red for a foul on James Riley.
"The initial red card puts us behind the 8-ball," Galaxy coach Bruce Arena said. "The second goal was highly disappointing. A bunch of guys standing around watching the Seattle player make a play. Not a good night tonight. Didn't deserve more than what we got."