He told an audience in Phoenix that the law is a misguided example of what he called an "extraordinary level of fear."
But Glover said boycotting Arizona is not the appropriate response. He believes the state will find, in his words, 'a way to shine.'
"We at this juncture Arizona could take a role of leadership in terms of dealing with this in a comprehensive way and having discussions that engage everyone that involve everyone," he said.
Also on Wednesday, at a white house Cinco de Mayo celebration, President Obama said he wants to make immigration reform a top priority and plans to begin working on legislation this year.