Bring 2 inches water to boil in skillet, Remove 1 cup boiling water, pour over saffron and reserve. Add salt to water; add beans and peas, and par-boil 3-4 minutes. Drain and reserve. Place chicken in skillet skin-side down and add quartered onion, celery, carrot and bay leaf. Cover with a couple of inches of water and bring to a boil. Reduce heat and simmer to poach the chicken, about 20 minutes. Remove chicken and let cool. Strain stock into a bowl and reserve. Return skillet to the stove.
Remove chicken bones and skin. Slice or pull chicken into large bite-sized pieces.