The answer is part of a bigger point about diet, and that framing matters as much as the list.
A well-balanced diet is essential for keeping your skin healthy and helping the wound heal. In particular, that diet should include vitamins A, B, C and E, iron and zinc, proteins and carbohydrates.
So the short answer is vitamins A, B, C and E. But they aren’t isolated nutrients to be topped up. They sit inside a list that also includes minerals, protein and carbohydrate, as part of a balanced diet rather than as a treatment.
Body weight matters alongside this. Significant weight loss or weight gain, as well as not getting enough protein, fluids, energy and vitamins, do affect how a wound heals. Fluids and energy are easy to overlook and are on that list for a reason.
Looking at it from the other direction, poor nutrition is one of the factors that impede healing.
This page does not recommend supplements or doses. Choosing to take anything — especially if you have kidney problems, take other medicines, or are managing diabetes — is a conversation to have with a clinician or dietitian, not a decision to make from a list.