Chop cranberries in a food processor or by hand. Transfer to a bowl.
Add sugar, green onion, cilantro, jalapeno pepper, lemon juice, cumin, and salt to cranberries; mix well. Cover and store in the refrigerator until cranberries have lost some of their bitter taste, about 4 hours.
Place cream cheese bricks on a plate and pour cranberry mixture over top. Serve immediately.