The former CEO of Godfather's Pizza predicted, however, that achieving such a goal would likely prove easier said than done.
"Because the Senate is controlled by Democrats we would never be able to get the Senate first to take up that action, because they simply don’t care what the American public thinks," he said. "They would protect him and they wouldn’t even bring it up," Cain said, citing the administration's position on the Defense of Marriage Act as an impeachable offense."
Cain came in fifth place in the widely-anticipated Ames Straw Poll last weekend. In a campaign email to supporters on Tuesday, the Republican hopeful lauded his standing in the early GOP primary test.
"We are encouraged by our results in the recent Iowa straw poll," he said. "We not only placed well above more established politicians, we did so with no debt. As a businessman, I know how important it is to keep revenues ahead of expenditures. Our grassroots efforts proved that we can change the politics-as-usual paradigm. We have proved I am a viable candidate and we look forward to continuing our efforts to gain the nomination."
During an appearance on Fox News earlier this week, Cain addressed how he plans to conduct his political operation going forward.
“We’re running a different type of campaign," he said. "It’s called a bottom ups campaign -- my supporters were thrilled with that finish and they’ve already started to up the ante with their contributions. Ever since, Saturday my online contributions have not stopped so just the contrary, so no, this didn’t turn my supporters off, this turned my supporters on."
Cain added, "I will finish with number five in Iowa, that’s right where we want to be. If we finish in the top five in New Hampshire…we will be ecstatic."
In a New York Times Magazine interview published online earlier this summer, the GOP contender suggested that his campaign for the White House was taking off. He said that his campaign was finding success in appealing to "medium- to small-dollar donors" who have contributed anywhere from $25 to $100.
Responding to the suggestion his strategy sounded "very Obama '08" the GOP contender said, "David Plouffe wrote a book about how he did Obama’s fund-raising strategy. And guess what we did? We read the book. Genius! Let me tell you something about Herman Cain, I don’t have a problem taking a good idea and using it, even if it did come from Obama."
Below, video of what Cain had to say earlier this week on Fox News.