Place chicken breasts between two pieces of plastic wrap. With a meat mallet, pound chicken until 1” thick all around.
Transfer chicken to a baking sheet and add asparagus and cherry tomatoes. Drizzle with olive oil and sprinkle with salt and pepper. Bake 20-25 minutes or until internal temperature of chicken reaches 165℉ and vegetables are tender.
Let chicken cool enough to handle and thinly slice crosswise. Transfer chicken and vegetables to a bowl and toss gently with pesto.
Lay wraps on a work surface, spread a thin layer of ricotta on each and top with chicken, tomatoes, and asparagus. Roll up and serve.