In plain words
One from whom the world does not shrink and who does not shrink from the world, who is free from joy, envy, fear, and anxiety—that person too is dear to Me.
Word for word
From whom the world is not disturbed and who is not disturbed by the world, and who [is] freed from joy, intolerance, fear and agitation, he too [is] dear to Me.
यस्मान्नोद्विजते लोको लोकान्नोद्विजते च यःहर्षामर्षभयोद्वेगैर्मुक्तो यः स च मे प्रियः
Other commentaries
The commentators
▸Bhagavadgītābhāṣyam· bhāṣya
यस्मात् संन्यासिनः न उद्विजते न उद्वेगं गच्छति न सन्तप्यते न सङ्क्षुभ्यति लोकः, तथा लोकात् न उद्विजते च यः, हर्षामर्षभयोद्वेगैः हर्षश्च अमर्षश्च भयं च उद्वेगश्च तैः हर्षामर्षभयोद्वेगैः मुक्तः ; हर्षः प्रियलाभे अन्तःकरणस्य उत्कर्षः रोमाञ्चनाश्रुपातादिलिङ्गः, अमर्षः असहिष्णुता, भयं त्रासः, उद्वेगः उद्विग्नता, तैः मुक्तः यः स च मे प्रियः ॥ १५ ॥
In plain words
Think of someone the world is never on edge around — no one grows uneasy near him, falls into distress because of him, is tormented by him, or gets thrown off balance by him. And it runs the other way too: the world's noise doesn't unsettle him either. He is free of elation, of resentment, of fear, of anxious agitation — all four. Elation is that swelling of the heart when something we love comes to us, the kind that shows itself in goosebumps and happy tears. Resentment is simply not being able to bear something. Fear is dread. Agitation is that inner state of being shaken. Whoever has let go of all four of these — he is dear to me.
Close to the Sanskrit
He from whom, the renunciate, the world does not become agitated, does not fall into distress, is not tormented, is not disturbed; and likewise who does not become agitated from the world — freed from elation, intolerance, fear, and agitation, [that is:] elation and intolerance and fear and agitation — freed from these, elation, intolerance, fear, and agitation. Elation is the swelling of the inner faculty on the gaining of what is dear, marked by such signs as horripilation and shedding of tears; intolerance is the inability to bear; fear is dread; agitation is the state of being agitated — freed from these, whoever [is so], he is dear to me.