Most dogs want to be with their person and some are virtually glued to their human. It is important to understand that a dog following their person around isn’t necessarily a sign of separation anxiety. It can be, but it doesn’t have to be.
Humans are social being, to a certain extent. Most of us value alone time, even if it’s just a few stolen minutes in the car or taking a bath. Dogs have no concept of “alone time.” They want to be with their pack at all times, and for a domesticated dog that pack equals their human.