I have 3 parrots in with my featherfin cat. And I run into the same issue with feeding.
So, after much trial and error, what works for me is to mix a portion of flake food in 1/4 cup with tank water and Garlic Guard or Vita-Chem. I let the flakes really absorb the fluid. Then, I dump the entire 1/4 cup into the tank. This sends the flake food flying everywhere through the water column. While the parrots are on their chase, I toss a couple of algae wafers down throught an open spot at the back of the tank. The fish never see them land and the featherfin is all over them.