Pound the chicken to even thickness; season with salt, pepper, and Italian seasoning.
Heat olive oil in a skillet over medium-high. Sear chicken 4–5 minutes per side; remove.
Add butter and garlic to the pan; cook until fragrant.
Add chicken broth and scrape up browned bits.
Stir in heavy cream, pesto, and marinara to create a creamy pesto rosé sauce.
Return the chicken and simmer for 3–4 minutes.
Add the burrata in the center; warm for 1–2 minutes.
Split the burrata open so it melts into the burrata sauce.
Top with tomatoes, basil, and parmesan.