In a bowl, mix together the flour, eggs, olive oil, and salt. Stir to combine, but it should be a very thick mixture. Pour out onto a clean work surface and knead it a little until it comes together. Wrap with plastic and set aside in the fridge for 20 minutes.
Set up your pasta maker and set it to the widest setting. Split the dough in half and start running one half through the pasta maker. It will be hard to work with and not smooth at all, ripping as it goes through the machine. Continue to fold the dough onto itself and running it through again and again until it becomes smooth.
Split the dough again and run the sheet through the pasta roller on the next thinner setting, and repeat, getting thinner, until you reach the second or third thinnest - The ideal setting will depend on your machine. Repeat with the other sheet.
Lay the two pasta sheets out on the surface and add about 2 tablespoon sized clumps of the chicken mixture every few inches on the sheet of pasta. Brush the whole sheet with some water, then lay the other sheet on top. Work from one end to the other, sealing the filling inside the pasta and trying to press as much air out from the middle as possible.
Use your ravioli cutter, or just a knife, to cut out each round ravioli, collecting the scraps.
Dust the ravioli with excess flour on all sides and allow to dry on a kitchen towel as you continue with the rest.
Repeat with the remaining dough, incorporating the scraps back into the dough, until you have used all the dough or filling. This should make about 16-20 large ravioli, enough for 4 people.