The Core i3-3220 will work with the GTX 760. However, as mentioned above in games that use more than 2 cores the i3-3220 will bottleneck the GTX 760.
For example, BioShock Infinite is a pretty easy game on just about any modern system. It only uses 2 cores and as long as the CPU is fast enough the GPU will not be bottlenecked. See below CPU performance chart with a GTX 680 which is more powerful than the GTX 760. Performance is pretty close for AMD and Intel CPU regardless if they have 2 cores or 8 cores.
Skyrim is an example of CPU intensive game, but it only uses 2 cores. Therefore, in general the GTX 760 will give you better performance with an Intel CPU than an AMD CPU.
Hitman: Absolution represents one of the more demanding...