A new and distinct cultivar of Chrysanthemum plant named ‘Fichryswiros’, characterized by its relatively compact, upright to outwardly spreading and uniformly mounded plant habit; moderately vigorous growth habit; freely branching habit; dense and full plant form; uniform and freely flowering habit; medium semi-decorative type inflorescences with dark red purple-colored ray florets; early flowering habit, response time about 37 days under controlled photoperiodic treatments; and good postproduction longevity.