Cut Ripe plantain slices into ¼″ dices and set aside.
Pre-Heat oil to 350°F.
Carefully add the plantain and cook for about 3 minutes, until golden brown, flipping half way through.
Set cooked plantains aside.
Line up 4 tortillas in an assembly line. Add about ⅛ of the cheese to each of the 4 tortillas and top with the equivalent of 3 slices of plantain.
Cover the plantains with remaining cheese, dividing equally among the 4 quesadillas and top with remaining tortillas.
Heat butter in a pan set over medium-high heat.
The amount will vary on the size of your pan; you shouldn’t need more than 1 tablespoon per quesadilla.
Place a quesadilla in the pan, turning once, until tortilla browns slightly, 3 to 4 minutes per side.
Repeat until all quesadillas are cooked.
Once cooked quesadillas have cooled for 2 minutes or so, use a sharp knife to cut it into quarters for serving.