Local function can capture like normal

Program.cs

using System;

namespace LocalFuncCreatesClass
{
    class Program
    {
        static Func<int> GetNextThing { get; set; }
        static void Main(string[] args)
        {
            var current = 2;
            int next() => ++current;
            GetNextThing = next;
            Console.WriteLine(next());
            Console.WriteLine(GetNextThing());
        }
    }
}