1. Cook the short pasta in a pot of salted boiling water according to the instructions on the package. They should be al dente.
2. Meanwhile, heat 1 tablespoon of olive oil in a pan.
3. Cook the salmon fillets in the pan, skin side down, for about 7 minutes on each side. Lightly season with salt and pepper, then remove from heat. Set aside.
4. When the pasta is cooked, drain it in a colander, then transfer it to a container and let it cool.
5. Remove the skin and bones from the cooked salmon fillets, then roughly chop them. Add them to the cooked pasta in the container.
6. Cut the yellow lemon in half and squeeze it to extract its juice. Remove any seeds if necessary. Then, zest the lemon.
7. Clean and pat dry the fresh parsley, then finely chop it.
8. Add the grated lemon zest, lemon juice, and chopped parsley to the salmon pasta. Adjust the seasoning to your taste, then mix everything well.
9. Serve this salmon pasta.