Press your lips together to stop the air, then release. No vocal cord vibration.

Americans pronounce punish as PUH-nuhsh (/ˈpʌnəʃ/). Stress falls on the first syllable — keep everything else short and quick. You'll hear it in sentences like "Punish the foolish motion with a harsh push".
Record yourself saying "punish" and play it back. The mic stays on your device — nothing's uploaded.
2 syllables, 5 sounds. Tap a syllable to jump to its row, then explore each sound's mouth shape and how it's made.
Touch the tip or front edge of your tongue to the roof of your mouth behind your teeth. Air flows through your nose.

Relax your lips, jaw, and tongue completely. Drop your jaw slightly and keep the tongue neutral.
Flare your lips and lift the mid-front tongue close to the roof of your mouth. Blow air through without voicing.

The textbook way isn't wrong — it's just not how anyone actually says it.
Stress falls on the first syllable, not the others. Stretch PUH — keep everything else short and quick.
Don't pronounce the first syllable too fully. The unstressed syllable reduces to a schwa — the lazy "uh" sound — in casual speech.