Hi tumayimbe, and welcome to AF
What country are you in, and where do you wish to buy it from?
The answer depends on technology and frequency band, which do vary by network and country. Internationally the Desire C has UMTS in the 900 and 2100 bands, so would be fine in most of the world, as UMTS 2100 is the most widespread 3G globally. It would however give you no 3G in North America, if that matters to you. There is also a CDMA variant in North America, but I've no idea what its compatibility is.
The important thing is to check the specs of the phone against the frequencies and technologies used by the networks you want to use it on (or in the regions you wish to use it).