What type can parasites can I get from eating undercooked duck?

Salmonella. http://www.fsis.usda.gov/factsheets/duck_&_goose_from_farm_to_table/index.aspas on any perishable meat, fish or poultry, bacteria can be found on raw or undercooked duck or goose. Bacteria multiply rapidly in the "danger zone, " at temperatures between 40° and 140 °f (out of refrigeration and before thorough cooking occurs). Freezing may limit growth but does not kill bacteria.
Domestic ? If this is domestic farm raised duck you do not have much to worry about. Most duck is served medium rare.