Bahman, I think this is the flaw in your argument: Your start with a definition of change that is based solely on time. I think this is arbitrary and needlessly restrictive. It may be possible to describe, if not envision, change outside of time. For example, if you think of time as a geometric dimension, you could have other “time-like” dimensions, or perhaps other spaces, in which change is possible.
Consider movement on the surface of the earth, and think of the north-going Zax (from the Dr. Seuss story, The Zax). It is in his nature to walk always north. He cannot move east, west, or south. As far as he is concerned, change is only possible in a northerly direction. If he continues to walk north, eventually he will come to the North Pole. Then he will stop. He will be unable to move, because no direction is north, every direction is south, and he is a north-going Zax.
He may then say “Where there is no north, no movement is possible.” For him, this is true. However, it is not true for you and me and many other creatures. From the North Pole, we certainly cannot move north, but we can move in any southerly direction, and we can also rise or descend in altitude.
This analogy has its philosophical and theological limitations. It is certainly not adequate to describe God or eternity. However, I think it shows the arbitrariness and the limitations of defining change solely in terms of time.