In a medium bowl mix together the masa harina and salt. Add the water and oil and mix until completely incorporated.
Place a nonstick, cast iron, or well-seasoned carbon steel pan over medium-low heat.
Divide the dough into ~20 golf ball-sized balls. Gather 2 pieces of parchment paper and place them on the surface you will use to make the tortillas.
Place one parchment on the tortilla press, and place a dough ball on top of the parchment. Place the other parchment over the dough ball and gently press the dough flat using the tortilla press. 1/8 inch thickness is the goal.
Remove the top piece of parchment from your tortilla and pick up the bottom parchment with the flattened dough ball on it. Flip it over on your dominant hand supporting the dough and peal off the parchment.
Gently place the raw tortilla onto the hot cook surface and cook on each side for 1-3 minutes. You want soft flexible tortillas. If they are browned, stiff, or dried out, turn down the temperature or spend less time on each side.