Mix flour, parsley, baking powder, salt, thyme, and cumin together in a large bowl. Add chopped onion and jalapeno pepper; mix again. Add eggs and salmon; mash salmon and mix until combined. Add water and stir into a very thick batter.

Heat 1/4 inch oil in a frying pan just below the medium heat setting. Scoop up 1 tablespoon batter per fritter; drop carefully into the hot oil in batches of 3. Fry until golden brown, 3 to 5 minutes per side. Transfer to a dish lined with paper towels to drain. Repeat with remaining batter for about 16 fritters in total.