Combine milk, butter, and salt in a large heavy-bottomed pot and bring to simmer over low heat. While whisking, add semolina flour. When semolina is thick and has absorbed all of the liquid, continue cooking for another 15 minutes over low heat, stirring every 5 minutes.
Off heat, stir in parm, egg yolks, and nutmeg. Spread doughy mixture evenly onto an oiled half sheet tray. Use a second sheet tray (oiled on bottom) to press down on the mixture to flatten and even it out. Refrigerate for 30 minutes.
Cut chilled gnocchi into squares or use a large ring mold to cut out circles.
Heat a nonstick saute pan over medium-high. Add squeeze of olive oil followed by gnocchi squares or rounds. Fry on each side for about 2 minutes or until golden and crisp.