Prepare for It. The best way to prepare for this reaction is to simply know your stance ahead of time by determining if you would even consider a counteroffer. Yes, it may be more money or a better title, but there's more to consider__including your career goals, level of job satisfaction in your current role, and the opportunities that your new role offers.
Otherwise, look to the history of your company. How have your boss and other managers handled employees' resignations? If you see a pattern of upper management refusing to let the team members work out their notice, you can likely expect the same.