A simple, delicious Paleo/Whole30 meal in the oven or on the grill!
If using brine: Stir water and salt in a large bowl. Place chicken in brine and allow to rest for 30 minutes. When chicken is done brining, preheat grill or oven to 400 degrees and place oven rack in upper third of oven.
Heat an oven safe pan or skillet on med/high heat for two minutes. Add olive oil to pan (enough to coat pan) When oil is hot add chicken to pan, skin side down. Cook chicken until golden brown (five minutes or so) turning heat down if needed. Place pan in oven. Cook for 25-30 minutes depending on size of breasts, turning skin side up last 10 minutes of cooking.
Place breasts skin side down onto preheated grill. Cook for ten minutes, turn breasts skin side up and cook for 15 minutes (or more if using larger breasts.)
Just before chicken is done, squeeze zucchini noodles between two paper towels to remove excess moisture. Place large pan on medium heat for 2 minutes. When pan is hot, add enough olive oil to coat bottom of pan. Add zucchini and heat, tossing for 2-3 minutes (just long enough to heat them up. If you cook them too long they will get soggy) Sprinkle with sea salt and pepper. Plate zucchini.