Preheat the oven to 425°F (220°C). Line a large baking sheet with aluminum foil and drizzle it with olive oil. Place the baking sheet in the oven while it heats.
Place the chicken breasts between two sheets of plastic wrap on a firm, flat surface. Using the smooth side of a meat mallet, gently pound each piece until it reaches an even ¼-inch thickness.
Season both sides of the flattened chicken with salt and freshly ground black pepper.
Prepare three shallow bowls for breading. Combine the flour and paprika in the first bowl. Whisk the eggs with a little salt and pepper in the second bowl. Mix the seasoned bread crumbs and fresh lemon zest in the third bowl.
Coat each chicken piece lightly with the flour mixture, shaking off any excess. Dip it into the beaten eggs, allowing extra egg to drip away. Press both sides into the breadcrumb mixture until evenly coated.
Transfer the breaded chicken to a plate in a single layer without stacking. Repeat until all the chicken pieces are coated.
Carefully remove the hot baking sheet from the oven. Arrange the breaded chicken in a single layer, leaving a little space between the pieces. Drizzle additional olive oil lightly over each piece.
Bake for 5–6 minutes, then carefully turn the chicken over. Continue baking for another 5–6 minutes, until the coating is lightly golden and the chicken is cooked through.
Insert an instant-read thermometer into the thickest part of the chicken. It must register at least 165°F (74°C).
Serve the schnitzel warm, preferably with fresh lemon wedges.