Begin by removing the outer leaves of the red cabbage. Cut the cabbage into quarters and remove the core. Thinly slice the cabbage into shreds and place it into a large mixing bowl.
Chop the fresh dill and parsley. Add them to the bowl with the shredded cabbage, mixing them gently to combine.
Carefully cut the avocado in half, remove the pit, and scoop the flesh into the bowl. Dice it into bite-sized pieces, being careful not to mash it.
In a separate bowl, whisk together the extra virgin olive oil or flax seed oil, orange juice, lemon juice, salt, and pepper. Taste and adjust the seasoning as necessary.
Pour the dressing over the cabbage, herbs, and avocado. Gently toss everything together until the cabbage and avocado are well-coated in the dressing.
Transfer the salad to a serving platter or individual bowls. Enjoy immediately, or let it sit for a few minutes to allow the flavors to meld together.