Raise the back of your tongue to touch the soft palate (velum). Stop the air, then release.

Americans pronounce kick as KIHK (/kɪk/). You'll hear it in sentences like "Kick the can" or "The quick kick broke the brick and the stick" — more examples below.
Record yourself saying "kick" and play it back. The mic stays on your device — nothing's uploaded.
1 syllable, 3 sounds. Explore each sound's mouth shape and how it's made.
Raise the back of your tongue to touch the soft palate (velum). Stop the air, then release.

Drop your jaw slightly with relaxed lips. Touch the tongue tip behind the bottom front teeth and arch the top-front toward the roof.

Raise the back of your tongue to touch the soft palate (velum). Stop the air, then release.

The textbook way isn't wrong — it's just not how anyone actually says it.
In "kick", the "k" is not released — the articulators get into position but hold without the burst of air. Air stops but there's no release burst — the articulators hold position.