Remove any damaged or wilted outer leaves. Choose your cut based on desired texture: chop or shred for a softer, broken-down result, or cut into wedges through the core (keeping core intact) for structured, caramelized pieces that hold their shape. Chop any aromatics like onion or carrot into similar-sized pieces. Measure out your braising liquid — broth, water, wine, or vinegar — and have it ready. Pat cabbage dry if very wet to avoid slowing the initial browning step.

Heat oil or butter in a large heavy-bottomed pot over medium heat. Add cabbage and any aromatics (onion, carrot), stir to coat, and cook 4–5 minutes until softened and lightly colored at the edges. Pour in braising liquid to about halfway up the cabbage. Scrape up any browned bits, season with salt and pepper, bring to a simmer, then reduce heat to medium-low and cover. Simmer covered on medium-low for 20–25 minutes for chopped or shredded cabbage, or 40–45 minutes for larger wedges or bigger batches. Check every 10 minutes — if the liquid runs dry before the cabbage is tender, add a splash of water or broth. Stir occasionally for even cooking. Oven option: bring to a simmer on the stovetop, then braise covered at 350°F — less checking needed.

Cabbage is done when fully tender and a fork or knife tip slides in easily. Leaves should look soft and slightly translucent; braising liquid should be reduced and glossy. If cabbage is tender but liquid is thin, remove the lid and cook uncovered a few more minutes to reduce. Taste and adjust seasoning before serving. Too tangy? Add a pinch of sugar. Flat? Add a splash of vinegar and a pinch of salt. Optional finishes: caraway seeds, red pepper flakes, or fresh herbs like dill, parsley, or cilantro. Serve warm from the pot. Don't overcook — mushy cabbage can't be fixed. Keep cores intact on wedges to hold leaves together. Refrigerate leftovers in an airtight container for up to 4 days. Reheat covered over medium-low heat, adding a splash of water if dry.