Conscious business.. business that is conscious of inner and outer worlds.. would therefore be business that takes into account body, mind, and spirit in self, culture, and nature. Put differently, conscious business would be mindful of the way that the spectrum of consciousness operates in the Big Three worlds of self and culture and nature.
Perhaps the best place to begin with an integral approach to business is with.. oneself. In the Big Three of self, culture, and world, integral mastery starts with self. How do body and mind and spirit operate in me? How does that necessarily impact my role in the world of business? And how can I become more conscious of these already operating realities in myself and in others?
Conscious means "having an awareness of one's inner and outer worlds; mentally perceptive, awake, mindful." So "conscious business" might mean, engaging in an occupation, work, or trade in a mindful, awake fashion. This implies, of course, that many people do not do so. In my experience, that is often the case. So I would definitely be in favor of conscious business; or conscious anything, for that matter.