Whisk flour, parsley, and basil together in a medium bowl. Add chicken strips and toss well until coated.
Heat olive oil in a large skillet over medium heat. Add chicken and cook, turning occasionally, until lightly browned on the outside and no longer pink, about 10 minutes.
Stir in garlic. Add water, BTB garlic base, mixed vegetables, grape tomatoes, green onions, zucchini, fish sauce, and pesto. Cook, stirring occasionally, until heated through, about 8 to 10 minutes.
Serve over pasta.
