In a medium bowl, combine marinade ingredients until smooth, add chicken and toss to coat. Cover tightly and chill for 30 minutes or up to 8 hours.
Using tongs, transfer chicken to a greased grill or grill pan (you can also do this in a stovetop skillet. discard excess marinade) and cook on each side for 5-7 minutes until chicken is cooked through and juices run clear when you slice into the thickest part of the chicken. Allow to rest for a few minutes before slicing into thin strips or chopping into 1/2-inch pieces.
To assemble salads, arrange lettuce on the bottom, then top with chicken, tomatoes, cheese, avocados, and dressing. Serve immediately.