Let me break it down in plain Telugu: when you want to say 'I am possessive' in a way that sounds natural, a good translation is 'నేను ఆధిపత్య భావం కలిగి ఉన్నాను' (nēnu ādhipatya bhāvaṁ kaligi unnānu).
That phrase literally says I have a feeling of dominance or ownership. If you want a softer, more relationship-focused word, you can say 'నేను కొంత ఆడంబరంగా/స్వామ్య భావంతో ఉన్నాను' but the cleanest, commonly understood phrasing is 'నేను ఆధిపత్య భావం కలిగి ఉన్నాను.' For pronunciation help I often say it slowly: nē-nu ā-dhi-pa-tya bhā-vam ka-li-gi un-nā-nu. In casual speech among friends people sometimes use the Telugu verb form like 'నేను ఎవరోపై zaz'—but I avoid that and stick to the clear form above. Personally, I prefer the direct Telugu phrase because it captures both the emotional flavor and the social sense of possessiveness, and it helps me explain the nuance without sounding crude.