Warm coconut cream and coconut oil together until smooth. Add to the bowl of a stand mixer and add the lemon vanilla, salt, and powdered sugar one cup at a time. Slowly add remaining powdered sugar and whip until light and fluffy.
If you have trouble finding coconut cream at your local grocery store it's completely fine to use full-fat coconut milk and scrape the cream off of the top. Just be sure that it's cold enough to separate.