Whisk together the dressing ingredients - oil, orange juice, lemon juice, honey and salt - in a small jar or bowl until well combined.
Peel and coarsely grate the carrot and place in a bowl. Peel, core and grate the apple and add to the bowl then drizzle over the dressing. Mix well so everything is well combined. Either serve immediately, when it will be more crunchy, or place in the fridge and let it sit 20 minutes or so for the flavors to mingle a little more and the carrot and apple will soften a bit.
You can optionally garnish with a little chopped parsley or add some chopped nuts such as walnuts.