Repairing a small to medium size hole or damage to a stucco wall is very easy. First you have to determine how much damage there is. If the stucco is on the wall of a building/house, you need to see if the building paper is damaged, if it is you need to install some new paper. Also, if the chicken wire is damaged, you can buy a small amount at the local home improvement store at tie it to the existing wire.
Once your done with that (if needed), you can begin the repair. I recommend using a rapid set high strength mortar mix available at Lowe's and Home Depot. You simply mix this with water. Mix it to the consistence of peanut butter and apply with a small hand towel (also available at your local home improvement store). Make sure you try to get it flat, about the same level as the stucco surrounding the area.
After that has sat for about 10 minutes, try to put some more on very lightly with a random pattern similar to your surrounding stucco. Let dry, apply a good quality primer and exterior based paint. Very easy! If you apply to much, just scrape it off. You can get the feel of the mix after you play with it for a minute or two. If it starts to dry before you want it to, just mix in or apply a little more water. Cleans up with water. Good luck with your project!