They will unlock it, just call them and tell them they that you are traveling over seas and want to use a local simcard. I think you have to have it for 3 months and be in good standing before they will do it though. Also make sure it will work on T-mobile's network.
Do some reading on this on Android forums before just accepting everything everyone says here.
Verizon's recent LTE phones are almost all unlocked out of the box in terms of carrier (bootloader is locked and thats a different thing). For instance the Note2 is unlocked as of the most recent update. (HTC DNA was unlocked out of the box) I can go to europe and pop in a sim and be good to go. IT should work with ATT, Tmobile etc.
Make sure your GSM frequencies match too, if your looking for higher speed data.
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