I don't care how anyone explains it to me otherwise, a quick look around at the universe is all it takes to demonstrate that it is a place of endless change.
Nothing in existence is static. Placing God onto his own timeless, changeless level of existence alters nothing except increase unbelievability.
So, yes. God is eternal, but not unchanging. The same applies to us and all other Beings.
Eternal, but not unchanging.
Eternal, in the sense of everlasting and ever-changing.