Tongue pulls back slightly from the D position, blending into R. Sounds close to 'jr'.

Americans pronounce drawing as DRAH-uhng (/ˈdrɑɪŋ/). In "drawing", the "dr" cluster blends into a "jr" sound — a natural American English pronunciation. This is called the DR Sounds Like JR, and it's why Americans sound more relaxed than the textbook. It comes out as DRAH·uhng. Stress falls on the first syllable — keep everything else short and quick. You'll hear it in sentences like "The perspective in this drawing gives a sense of depth".
Record yourself saying "drawing" 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.
Tongue pulls back slightly from the D position, blending into R. Sounds close to 'jr'.

Curl or bunch your tongue without letting the tip touch the roof of your mouth. Brace the sides of your tongue against your upper back teeth, and round your lips slightly.
Relax your lips and drop your jaw significantly. The tongue tip lightly touches behind the bottom front teeth and the back part of the tongue presses down a little to create more dark space in the back of the mouth.

The textbook way isn't wrong — it's just not how anyone actually says it.
In "drawing", the "dr" cluster blends into a "jr" sound — a natural American English pronunciation. /d/ shifts toward /dʒ/ ("j"), so DR sounds like "jr".
Stress falls on the first syllable, not the others. Stretch DRAH — 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.