😣My skin is dry so I scratch it often and it leaves a scar that won't go away.

As the weather gets colder and the dry weather continues, my skin feels so itchy.
I scratched my skin because it was itchy while showering, and it left a scar like this.

My wounds don't heal easily. If I moisturize thoroughly with body cream, will the wounds go away?
Even though I apply body cream right after showering, my skin is still very dry.