‘Process omnipotence’ refers to the idea that, regardless of theoretical conceptions of what God’s omnipotence is or how best to understand it, how it acts tends to be a process. I.e., through time and beings. For example, God might communicate to you through someone else or some other artifact that already exists, or He might prepare you for an event with another event.
The pattern is seen in both experience and Biblical stories. It suggests that, effectively, construing God’s omnipotence as a ‘magic wand’ is an incorrect conception, whatever the reasons for that might be.