The option to adjust time between AI’s movement is actually at ‘Game’ > ‘AI Pause Duration’ and is the milliseconds between moves. It does persist across sessions and save games.
That being said using the history panel is even better since you can review and click through moves as many times as you’d like. To show the history panel just go to ‘Game’ > ‘Show History’ and to hide it go to ‘Game’ > ‘Show Current Game’.





