Let us first assume that this employee is otherwise a good employee and that you would not want to simply fire him or her for being obstructive and difficult. If this is so, the best way to deal with such an employee is to involve them in all future planning for change.
It is typically true of people that they are much more critical of decisions that have been made without their involvement. They feel no ownership of the decision and they feel no sense of having been part of making it. Therefore, they feel no need to accept the decision gracefully. By contrast, if you have this employee participate in the planning, they will be much more likely to feel that the changes are their changes, not changes that are being arbitrarily imposed upon them from above.
In this way, you can have a good chance of keeping this from becoming a problem of employee discipline. You can motivate this employee by making them part of the planning process and can thereby avoid having to discipline them for being obstructive and insubordinate.