Bring a large pot of lightly salted water to a boil. Add egg noodles and cook until the pasta is tender yet firm to the bite, about 5 minutes; drain.

Meanwhile, melt butter in a large skillet over low heat. Add cabbage and season with salt and pepper. Cover and cook until the cabbage begins to brown, 5 to 7 minutes. Add cooked noodles; cook and stir until the noodles begin to brown, about 5 minutes.