‘KORaroma06’ is a new and distinct variety of Rosa hybrida which is characterized by the combination of a compact and bushy growth habit, a moderately vigorous rate of growth, good resistance to many rose diseases, panicles bearing five to six deep pink flowers, very double flowers, and strongly fragrant flowers. The new variety propagates successfully by stem cuttings and grafting and has shown to be uniform and stable in the resulting generations from asexual propagation.