Here’s a fantastic essay in favor of the impassibility of God by Thomas G. Weinandy:
‘I would acknowledge that the above arguments are, even in the brief summary form that I have presented them, intellectually and emotionally powerful, though often the emotional sentiment appears to far outweigh reasoned argument. Nonetheless, I believe that the entire project on behalf of a passible and so suffering God is utterly misconceived, philosophically and theologically. It wreaks total havoc upon the authentic Christian gospel.’
This is a concise and clearly written take on the idea that’s well worth reading.