Heat the olive oil in a large skillet over medium-high heat. Add onions, celery, carrots, mushrooms, jalapenos, garlic and parsley. Cook, stirring, for 7-8 minutes. Remove from heat.
Add contents of skillet to a large crock pot. Add chicken and broth. Cook on Low heat for 6 hours. At the four-hour mark, add the rice. Serve warm with a crusty bread.