Can I buy an Iphone i USA and take it with me home to Denmark

[iMore Question]

My girl is in Hawaii and she has damage her I phone, so she can not see anything at the display.
She is unsure whether there are any problems buying a new one in the USA and bring it to Denmark.

 

[kch50428]

If the Apple Store in Hawaii can't fix the phone she has, they can set her up with one that will work when she gets it home...