Bring a pot of salted water to a boil and cook the chickpea spaghetti according to package instructions until al dente, then drain.
While the pasta cooks, spiralize the zucchini into noodles and mince the garlic.
Season the chicken breast with sea salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat and sear the chicken until golden and cooked through, about 5-6 minutes per side.
Remove the chicken from the skillet, let it rest for a few minutes, then slice into strips.
In the same skillet, add the minced garlic and zucchini noodles, sautéing for 2-3 minutes until the zucchini is slightly softened but still crisp.
Add the cooked spaghetti, sliced chicken, lemon juice, and lemon zest to the skillet, tossing everything together to combine.
Remove from heat and fold in the fresh basil and crumbled feta cheese before serving.