Cruz reiterated that he can repeal "every single word" of the law.
When host Jonathan Karl asked if Cruz was positive a repeal was possible with Obama in the White House, the senator indicated it wasn't a large factor.
"You know, what's funny, Jon, is the media treats that as a bizarre proposition," Cruz said.
"Well, it is," Karl responded. "It is a bizarre proposition."
Cruz then said that pushing for a full repeal was the best way for the GOP to win elections in 2014.
"Millions of people have lost their jobs, have lost their health care, have been forced into part-time work, have their premiums skyrocketing. And right now, Washington isn't listening to those people," he said. "That's how we win elections, and that's also how we repeal ObamaCare."
Watch Karl's interview with Cruz via ABC: