Marc Benioff, CEO of cloud computing provider Salesforce.com, took to Twitter to express his disapproval.
"If this bill passes we will never do another corporate event in Arizona. Good bye @the_phoenician and @ArizonaBiltmore - my two favorites!" he tweeted, mentioning two hotels in the Phoenix area.
A number of corporations oppose the bill. Business review website Yelp, pet supply chain operator PetSmart, American Airlines, hotel chain operator Marriott and technology giants Apple and Intel have all gone on record against it.
(Read more: More jump into the fray on Arizona bill debate)
Brewer had until Saturday to veto SB 1062 or sign it into law. Using a hashtag to refer to the bill, she tweeted Tuesday, "I assure you, as always, I will do the right thing for the State of Arizona."