Jerusalem by Alan Moore, my granddaughter gave me Reality Is Not What It Seems: The Journey To Quantum Gravity (Allen Lane, 2016) by Carlo Rovelli. Chapter 7 of Rovelli's book is entitled "Time Does Not Exist." Does this agree with Eternalism? I suspect not.
I think that Rovelli means not that reality is static and therefore that change is an illusion but only that commonsense ideas about time are inadequate. This would be unsurprising. Many commonsense ideas are inadequate.
Descartes argued, "I think, therefore I am," i.e., even if all my experience were illusory, I would still exist as the experiencer of the illusion. Similarly, change occurs at least within the illusion. To articulate "Change does not occur" is to change from articulating "Change..." to articulating "...does not occur."
I will carefully read Rovelli's account of the progression from Greek philosophy through classical mechanics and relativity to quantum gravity in order to gain a more accurate understanding of his "Time Does Not Exist." Rovelli will have to be read in conjunction with Jerusalem.