Not to pick on Jimmy Kimmel in particular; it's pretty much a nationwide epidemic.
Just to point out the difference, here's the side-by-side in Roman script.
And here it is in Arabic script.
Both languages are in complete agreement there is a difference between the letter "S" and a "Z" in spelling AND pronunciation.
So where y'all finding the Z?
W H E R E
H O W
So let's say you're like "Nah, I'm good. I'll keep pronouncing it 'Mozlem.'" Here is a list of proposed spelling changes.
Muzzels (like the shellfish)
Jay-S (the rapper)
Wisard of Os
Mussle (like for a dog)
Pepperoni Pissa ("Let's go get some 'Sa, bro.")