Brewers RHP Yovani Gallardo said even if he makes the All-Star Game next season, he won't go.
"If the game is in Arizona, I will totally boycott," he said Monday.
A year before the Diamondbacks are set to host the game, Arizona's strict new immigration law has drawn the attention of major-leaguers.
Royals RHP Joakim Soria said he would support a Latino protest. Detroit closer Jose Valverde said he could see himself steering clear, too.
"It's a really delicate issue," Toronto OF Jose Bautista said. "Hopefully, there are some changes in the law before then. We have to back up our Latin communities. If I do get chosen, I don't know what I'm going to do."
About three dozen protesters held signs Monday one block from the hotel where MLB held news conferences. The demonstrators said they had more than 100,000 petitions asking commissioner Bud Selig to move the 2011 game out of Arizona. Another protest was planned outside Angel Stadium before tonight's game.
Selig has previously said the game won't be moved.
Several All-Stars avoided the topic.
"That's a political thing," Yankees 2B Robinson Cano said. "I don't have anything to say about it. They already made a decision. If I say anything, it's not going to make any difference."
"Wrong guy," Yankees 3B Alex Rodriguez said.
Dodgers SS Rafael Furcal said he would wait for guidance from the union. The union has condemned the law and said if it is not repealed or modified, additional steps would be considered.
"The game is going on at this point, regardless," said former All-Star Tony Clark, who played for Arizona last season and now works for the union. "Whatever decision an individual player makes, they would have the full support of the union."
Home run derby: Red Sox DH David Ortiz won his first title, hitting 10 in the final round to beat Marlins SS Hanley Ramirez. It was Ortiz's fourth time in the event.
Don't quit your day job: Actor/comedian Will Ferrell, promoting his movie The Other Guys, must not think much of Evan Longoria's acting skills. Ferrell was asked what acting tips he would give the Rays third baseman who recently starred in a New Era commercial. His response? "Don't make any more commercials."
Times sports columnist Gary Shelton contributed to this report.