Chop cranberries in a food processor or by hand; transfer to a bowl.
Add sugar, green onion, cilantro, lemon juice, jalapeño, cumin, and salt to cranberries; stir to combine. Cover and store in the refrigerator until cranberries have lost some bitter taste, about 4 hours.
Place cream cheese bricks on a plate; top with cranberry salsa. Serve immediately.