When refrigerating cooked rotisserie chicken you should store the cooked rotisserie chicken in a shallow airtight container or wrap it tightly in some aluminum foil or plastic wrap to preserve the chicken.
The rotisserie chicken that is fully cooked should stay fresh and safe to eat for up to 4 days in the refrigerator.
You can keep the cooked Rotisserie chicken longer in the freezer for as long as 3 to 4 months which will keep the chicken safe to eat but it may not be as fresh as before.