Heat olive oil in a large skillet, over medium-high heat. Add chicken and season with salt and pepper.
Cook for 6-8 minutes, then flip and season the other side with salt, pepper, and Italian seasoning.
Cook for an additional 6-8 minutes, or until the chicken is cooked through and no longer pink on the inside. Then transfer to a plate and set aside.
In the same skillet, add garlic and cook until fragrant, for about 1 minute. Pour white wine to deglaze the pan, and scrape up the brown bits with a spatula.
Add canned and fresh tomatoes, 1 Tbsp Italian seasoning, and capers. Stir well to combine.
Return the chicken to the pan and nestle it in the sauce. Top each breast with 1 slice of mozzarella, cover with a lid and simmer for about 10 minutes.