That's a good question. Without testing, I'm inclined to think

Application.ScreenUpdating=False

might handle that if Application.DisplayAlerts = FALSE doesn't. Try it, if that doesn't work, we'll see if we can't find something else. ;-)

An offsite reference that may help too is The Spreadsheet Page with its extensive Excel FAQs.

Good luck, and keep me posted,

Update: Not sure this would work either, but you might try hiding/unhiding the sheet containing the chart, at least until/unless you want the user to have control over it (i.e., when you are done). Toggle the sheet's Visible property between xlSheetVeryHidden and xlSheetVisible (constants defined below).

*** Constant Group: XlSheetVisibility
#define xlSheetVisible                                    -1
#define xlSheetHidden                                     0
#define xlSheetVeryHidden                                 2
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Update x 2: A couple of other things to try:

ActiveChart.Deselect de-activates a chart.

Excel is event-driven. Events may be toggled on/off by setting Application.EnableEvents appropriately.

I tried it. It didn't help.