Combine flour, salt, black pepper, and Italian seasoning in a shallow dish and mix well.
Dredge the chicken tenders in the flour mixture, shaking off any extra coating.
Heat 2 tablespoons of oil in a large skillet over medium-high heat and cook the chicken for 2 to 3 minutes per side until nicely browned and fully cooked; then transfer to a plate and cover with foil.
While the chicken cooks, bring a large pot of salted water to a boil and cook the angel hair pasta according to package instructions until just tender; reserve 1 cup of pasta water, then drain and set pasta aside.
Wipe the skillet clean and heat 1 tablespoon of oil over medium heat; add sliced red, yellow, and green bell peppers along with the red onion and sauté for about 3 to 4 minutes, stirring regularly.
Add butter and minced garlic to the skillet, cooking for another 1 to 2 minutes until vegetables are soft.
Pour in the white wine, scraping the skillet bottom to lift any browned bits, followed by chicken broth; let simmer on medium heat for 2 minutes.
Stir in heavy cream, salt, and Italian seasoning and bring the sauce to a gentle boil, stirring often.
Lower the heat and toss in the cooked pasta, mixing thoroughly to coat it with sauce; cook for another 1 to 2 minutes and add reserved pasta water if the sauce needs thickening.
Place the cooked chicken on top of the pasta and sauce.
Sprinkle with grated Parmesan cheese and garnish with fresh basil and parsley before serving.