Whisk orange juice, vegetable oil, orange zest, paprika, mustard, and salt in a bowl. Arrange chicken breast halves in a baking dish; pour orange juice mixture over chicken.
Bake chicken breasts until no longer pink in the center and juices run clear, 30 to 45 minutes, basting with orange glaze every 10 to 15 minutes. An instant-read thermometer inserted into the center should read at least 165 degrees F (74 degrees C).
