A new cultivar of Rosa named ‘ZARSBJOH’ that is distinguishable by compact growth habit which requires limited pruning, dark green and glossy foliage and bright semi-double red well formed flowers. The flowers of ‘ZARSBJOH’ are semi-double and very long lasting, holding their color even in hot weather. ‘ZARSBJOH’ exhibits vigorous growth on its own roots, shows high disease resistance and is hardy to USDA Zone 5. In combination these traits set ‘ZARSBJOH’ apart from all other existing varieties of Rosa known to the inventor.