The legislation, signed last week, has sparked an outcry from critics who say it could give businesses the right to refuse service to gay people.
"I think everybody needs to sort of step back and cool off here and look at the facts, on both sides," said Fiorina, who is considering a run for the Republican presidential nomination.
She told "Closing Bell" the bill, which is based on a national law President Bill Clinton signed, is not about protecting discrimination, but safeguarding religious liberty.
"Basically what this law says is that someone can have a remedy against the federal government for imposing on their religious beliefs."
Big technology names have jumped into the controversy. Apple CEO Tim Cook has called the law dangerous and bad for business and Salesforce.com's chief executive announced his company would cancel any events that required employees to travel to the state.
Fiorina believes it is incumbent on every CEO to take advantage of all the talent out there, including in Indiana.
"It's not in any company or particularly a technology company's interest to discriminate in any way and that's not what this law does. This law doesn't condone discrimination," she said.
"I guess what I wish is that everyone could cool off and look at the facts before they jump onto Twitter and condemn something that clearly there's a huge amount of misunderstanding about."