Quayle -- who was the running mate of Bush’s father, former President George H. W. Bush -- was traveling and could not be reached for comment, according to a spokeswoman.
Along with Quayle, the other co-hosts of the evening are Tucson car dealer Jim Click and longtime US Airways executive C.A. Howlett.
The Arizona event kicks off another intensive month of fundraising for Bush, who is scheduled to hit Denver, Orlando, Miami and New York, along with several stops in California, according to a person familiar with his plans.
By the end of March, his two political committees are expected to have collected tens of millions of dollars, a war chest aimed at scaring off other likely GOP candidates for 2016.
Bush is planning to host a group of his top fundraisers on April 13 in Miami, where advisers will introduce the former governor’s policy teams and assess his progress to date.