What is the meaning of cutting' all them Z's?

I'm back and I'm ringin' the bell
A rockin' on the mike while the fly girls yell
In ecstasy in the back of me
Well that's my DJ Deshay cuttin' all them Z's
Hittin' hard and the girlies goin' crazy

********Hello, these lines above are part of the song "Play That Funky Music"
by Vanilla Ice. I don't understand the meaning of " cutting' all them Z's".
Is the expression related with the expression "cut some Z's"?
Please share your ideas.