Looking at the API there doesn't seem to be a way to center a wx.BusyInfo message to the center of the screen like with other pop  up modals by using Center().
Is there a way to center wx.BusyInfo()?
Little late: but you can center a busyInfo window by specifying a parent. It will center on the parent, otherwise it will center on the screen.
How to center a wx.BusyInfo() - wxpython?