I am a 19 yo student but I feel the need for marriage. However in our culture, early marriage is something that is looked down upon. I have tried a lot to manage it but I think it’s beneficial for me to get married earlier than what my parents would want. How do I approach them even as approaching them would be considered bad in our culture? What can I do?

Yes I encourage you to seek marriage
You need to find people your parents respect. If you can’t influence your parents maybe scholars or other family members can. Also don’t forget to pray to Allah and ask intercession of Ahlulbayt (a). Be honest with your parents why you need to get married but also you must show responsibility and ability to lead a family through your own actions.