Preheat the oven to 400°.
Trim all visible fat from the chicken.
Cut the chicken into 1-inch strips.
Place the cheese crackers, basil, and pepper in a large bag. Crush until crumbed.
Dip the chicken strips into the milk.
Add the chicken strips to the cracker crumbs. Thoroughly coat the chicken with the crumb mixture.
Place the coated chicken strips onto a greased cookie sheet.
Back for 5 to 7 minutes or until the chicken is tender and no longer pink.
Serve hot.
Refrigerate any uneaten cheesy chicken strips.