Unlocking an iPhone 4s under verizon?

I have a 2 year contract with Verizon for my iPhone 4s. I got it last august and I know after 2 years you can get it unlocked but I read some stuff online that if you are in good standing and you've had your phone/number for a certain amount of time. It was like 90 days or something. Which i've defiantly had it for. I travel out of the country a lot and thought it would be very helpful if I could use that country's sim card in my iphone but I took my iphone to my local Verizon store and they seemed very confused and told me to call global support or something. I do not roaming I want to unlock my phone. Also since Verizon runs on TDMA not GSM would unlocking it and putting a different sim card in it mess with the TDMA information when I return to the US?
Any information would be helpful.

The iPhone 4S is dual CDMA (for Verizon, Sprint, and related carriers) and GSM (for AT&T, T-Mobile, and related carriers).

Verizon will unlock the GSM side of the phone for international travel at your request. You need to contact Verizon customer service for that function to be enabled.

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