Slice the 9 large dill pickles lengthwise into spears and set them aside on a plate or tray.
In a medium bowl, combine 3/4 cup plus 1 tablespoon almond flour, 1/2 teaspoon salt, 1/4 teaspoon pepper, and 1 cup grated Parmesan; mix until evenly distributed.
In a separate bowl, whisk together the 2 large eggs and 2 tablespoons sour cream until smooth.
Dip each pickle spear first into the egg and sour cream mixture, letting excess drip off, then press into the dry almond flour–Parmesan mixture to coat thoroughly. Repeat until all pickles are coated.
Heat a thin layer of oil in a non-stick skillet over medium-high heat until shimmering. Add the coated pickles in a single layer (work in batches if needed).
Fry the pickles for 3–4 minutes, flipping halfway, until golden brown and crispy on both sides. Transfer to paper towels to drain any excess oil.
Serve the fried pickles immediately with your favorite condiments.