He did. Your apparent implication — that created beings retain some aspect of the essence or being of the Creator, such that they are therefore still a part of the one who created them — does not follow.
I’ll ask again: do you think that Satan and all the devils and demons could be a part of God?
You already answered your question when you acknowledged that God is everywhere.
If God is omnipresent in creation then everywhere you look, there He is.
We retain free will yet we are His cteations and He is present in us like it or not.
If He is omnipresent then the difference between Creator and creation is semantic.