I wasn't aware from your previous post that the content control was locked. Even then, it requires nothing more than unlocking it, which could be expedited with a macro like:
Code:
Sub Demo()
Dim CCtrl As ContentControl
With Selection
If .Information(wdWithInTable) = False Then Exit Sub
With .Rows(1)
For Each CCtrl In .Range.ContentControls
CCtrl.LockContentControl = False
CCtrl.LockContents = False
Next
.Delete
End With
End With
End Sub