This article demonstrates how to stop all forms in a Delphi app from minimizing when the main form minimizes.
For each child form that you wish to remain visible do this
type
TSomeForm = class(TForm)
protected
procedure CreateParams(var Params: TCreateParams); override;
end;
implementation
procedure TSomeForm.CreateParams(var Params : TCreateParams);
begin
inherited CreateParams(Params);
Params.WndParent := GetDesktopWindow;
end;