Melt coconut oil in a large skillet over medium heat.
Add onion to the skillet and saute for about 5 minutes, or until the onions have started to turn translucent.
Add the shredded red cabbage to the skillet and saute for about 15 minutes, or until the cabbage and began to soften.
Drizzle 2 Tbsp of balsamic vinegar to the skillet and toss the cabbage and onions to thoroughly coat. Saute for about 8 minutes.
Add the remaining balsamic vinegar, thyme and cherries, and toss to combine. Cook for an additional 8 minutes, or until the cherries and cabbage have become tender.