There's no guarantee it will help, but I'll share what I learned from my own experience and research in dealing with my past acne and acne scarring issue.
Much of my acne cleared up and some of my acne scarring and enlarged pores partly healed when I eliminated gluten and dairy from my diet and adopted a conventional Paleo diet. I found that zinc supplements got rid of the remaining acne. Then when I added more fruits, squashes and nightshades back into my diet, my acne increasingly returned and I had to take a larger dose of zinc on a daily basis to keep it at bay.
I continued to search for a way to prevent the acne without having to take supplements. When I went raw carnivore the acne essentially disappeared and the scarring and pores healed further, although I still have one mild depressed acne scar in my most scarred area, but it is not noticeable to most people. I used to think that acne scars could not heal through dietary change, but I learned that at least mild scarring can.
For me, the key nutritional factors seemed to be zinc and fatty acids from red meats and animal and fish fats. Vitamin A is also considered an important skin nutrient, and prescription derivatives from it (retin-A and isotretinoin) were my most effective pharmaceutical treatments (but still not nearly as effective as dietary change), so vitamin A was probably another factor in my dietary healing.
Here are some references linking zinc to acne and skin healing:
"[Z]inc is closely involved in protein synthesis and in collagen formation in your body, both of which are essential in the maintenance of healthy skin and in normalizing production of skin oils." (Use of Zinc for Acne,
http://www.nutritional-supplements-health-guide.com/zinc-for-acne.html)
"Zinc is also a crucial element in the production of collagen, elastin, new placement cells and tissue substances. These all make up the repair process in acne infected sites." ("Does zinc heal acne?" December 10, 2006
http://curingacne.blogspot.com/2006/12/does-zinc-heal-acne.html)
James F. Balch, M.D. and Phyllis A. Balch, C.N.C. in Prescription for Nutritional Healing list "Zinc gluconate 30-80 mg daily to aid in the healing of tissue and to prevent scarring."