How do "you" pronounce eczema?

Merriam-Webster and my own personal experience with American English suggest pronouncing it ˈeg-zə-mə

Cambridge Dictionary Online lists the pronunciation as ˈek.sɪ.mə and provides audio of English and American pronunciation.

I just took an unscientific poll of North American professional actors (read: searched the web for eczema commercial), and "egzema" /ˈɛɡzɪmə/ was the most common, followed by the similar "eksema" /ˈɛksɪmə/. I hadn't heard "egzeema" /ɪɡˈzi:mə/ until today.

• A TV ad for Elidel (pimecrolimus) cream 1% calls it a prescription drug to treat "egzema".
• Another Elidel ad with an animated character also says "egzema".
• A commercial for Gold Bond opens with a woman talking about "an eksema flareup" but it's kind of close. The voiceover says "egzema relief cream".
• "There are better ways to soothe egzeema" than spreading ice cream all over your skin. "Try Polysporin egzeema essentials".
• "Cortizone-10 intensive healing egzema lotion"
• Neosporin because "Americans suffer from eksema"

The "egzema" and "eksema" pronunciations represent a common phonological process called voicing assimilation: "egzema" and "egzeema" are anticipatory while "eksema" is lag.

You may want to check here: http://youglish.com/search/eczema

The cons: it doesn’t indicate the location of the speakers.
The pros: they are professional speakers.

They added accent support.

I'm a lifelong US resident and the daughter of a dermatologist. I grew up hearing my father pronounce it ig-zee-muh. He grew up in Chicago and did his residency at the Mayo Clinic in Minnesota. However, he moved us to North Carolina when I was a baby. So though I always said "ig-zee-muh" (accent on second syllable, long e) I recall most locals saying "egg-ze-muh" (accent on first syllable, pronounced like the word "egg", second e more of a schwa). I've never, ever heard the word spoken as only two syllables.