I am an Indian student in Italy, where can get part time jobs in Rome? And my Italian language skills are very poor.?
Does your student visa allow you to work, or are you looking for illegal employment? This will dramatically change the best place to find work.
You can offer tours in your native Language , to native Language tourists.
teach them about cowboys and indians they like that there
Try the places Italian students go to get jobs. Why have you not bothered to learn Italian while you are a student in Italy/ Suggest you try places where your English language skills are an asset, Call centres tourist places, English language teacher.