Hot-pack method
Peel zucchini and cut into 1/2-inch cubes or shred.
Combine all ingredients, bring to a boil, and simmer for 20 minutes.
Fill hot half-pint or pint jars with the mixture and cooking liquid, leaving 1/2-inch headspace. Remove air bubbles, adjust headspace, wipe rims, and apply lids.
Process in a boiling-water canner for 15 minutes at 0–1,000 feet, 20 minutes at 1,001–6,000 feet, or 25 minutes above 6,000 feet.