Preheat your oven to 350° Fahrenheit (175° Celsius). Grease a 9-inch round cake pan and line the bottom with parchment paper.
Pat the raspberries dry and toss them with 1 tablespoon of flour to prevent sinking.
In a large mixing bowl, rub the lemon zest into the sugar with your fingers until fragrant. Add the olive oil, vanilla extract, eggs, and egg yolk. Whisk until well combined. Stir in the ricotta cheese until the mixture is smooth.
Add the baking powder, baking soda, kosher salt, and cake flour directly to the wet mixture. Gently fold everything together using a rubber spatula until just combined, being careful not to overmix.
Spread half of the batter into the prepared pan. Scatter the floured raspberries evenly over the batter. Top with the remaining batter, smoothing the surface.
Bake in the preheated oven for 45–50 minutes, or until the top is golden and a toothpick inserted into the center comes out clean. Rotate the pan halfway through baking for even browning.
Let the cake cool in the pan for 15 minutes before transferring it to a wire rack to cool completely. Slice and serve at room temperature.