Will my iPhone 4 (Verizon) work in Mexico?

I have an iPhone 4 and Verizon service. I will be going to Mexico soon on vacation. The guy at the Verizon store told me my phone won't work there because it doesn't have a sim card? And that I would have to upgrade to an iPhone 5. I called Verizon and they told me the phone WOULD work in Mexico. Does anyone have any experience using an iPhone 4 through Verizon in Mexico?

WELL DUH? Isn't iphone supposed to be international? Get it on roaming at the airport

Your going to pay a lot for roaming

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