Purchase Quick Patch Epoxy from the local home improvement store. This is a heavy-duty, glue-like product that comes in two tubes and activates upon mixing.
Prep your concrete statue by rinsing thoroughly with running water and cleaning with a small scrub or toothbrush. Do not use soap or other cleaning chemicals, as they can prevent the epoxy from adhering properly.
Let the concrete statue dry completely. An air hose can help speed the process if you have one available, but allow the statue to rest for at least 24 hours whether you use one or not. Any moisture in the concrete will also reduce the effectiveness of the epoxy.
Mix the Quick Patch Epoxy according to package instructions. You will have a limited work time once the two tubes are mixed, so it helps to read all directions before you cut the tubes.
Apply the epoxy to the cracks in your statue. Use a popsicle stick to wipe up drips and smooth the epoxy into the cracks.
Keep the statue shielded from rain and other elements until the epoxy has set according to package directions.
Clean up unsightly edges and drips with a craft knife and sandpaper.