Mitt Romney, the 2012 Republican presidential nominee, said Sunday that there are "more productive ways" to fight President Obama's immigration executive actions than shutting down the government. 

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Appearing on CBS's "Face the Nation," Romney was asked about the possibility of shutting down the government to fight the actions. 

"Well, I think there's got to be more productive ways for us to be able to impress on the president the need to work for a permanent solution, as opposed to a temporary stop-gap solution," Romney replied.

Obama should allow Congress a chance to pass legislation on immigration, Romney said.

"Let those people who were elected come together with a piece of legislation on this and other topics, and then he has a chance to veto them if he doesn't like them," he said. "But the idea of violating the principles of our Constitution, which is a balance of power, checks and balances, that is something which is wrong, and I think would not be to the president's benefit."

He said that after major Republican gains on Election Day, Obama needs to listen to voters. 

"The president has got to learn that he lost this last election round," Romney said. "The American people spoke loud and clear."

Romney's name has been mentioned as a possible presidential contender in 2016, despite his denials, but he was not asked about the possibility on Sunday.