Rodriquez is calling on his fellow entertainers to boycott Arizona and the city of Los Angeles is considering a similar boycott against businesses in Arizona.
Meanwhile, the debate over the controversial law continues, as lawyers and economists ponder long-term impacts.
As thousands of protestors take the streets in Phoenix, more than 300 miles away Rodriquez is waging his own battle against Arizona's new law.
"This law is too broad," he says. "I've read it a couple times, in English by the way."
Rodriguez says Arizona is taking the wrong approach on illegal immigration.
"This law really has evoked the anger of Mexican Americans and all Americans I believe," he said.
Rodriguez cancelled a sold out show that was scheduled for Saturday in Chandler, Arizona. He is forfeiting more than $30,000.
"I myself am calling on everybody named Rodriguez not to go to Arizona," Rodriquez said. "That's a few million right there, that going to hurt them.
On Tuesday, seven members of the L.A. City Council signed a proposal calling for boycott against Arizona, which would include city contracts and conventions.
"We can say that Los Angeles will not do business with Arizona," City Council member Janice Hahn told reporters. "We're looking at all of our contracts and I we will have a lot of leverage over that state."
The new law makes it a state crime to be in Arizona illegally. Police are authorized to check suspects for immigration paperwork. Supporters say it's the state's way of dealing with a broken immigration system.
Attorney General Eric Holder said Tuesday that a court challenge is a possibility.
The new law is set to take effect in three months. Opponents to the law are planning a march in Downtown L.A. on Saturday.