Nice feedback-
I concurr regarding dredging, putting the chicken into flour seasoned with salt and white pepper (unless you'd like black spots on your chicken), then throughly patting off all the excess flour helps develop a better color and sear on the chicken breast.
I've always made picattas for line work by searing the breast breifly in oil on the skin side, then flipping it over and finishing it in the oven. I'll use a 450 F oven, so that it cooks quickly, and so that the pan is hot enough that I can finish the sauce in the pan quickly (hot food hot) in order to sell the chicken. I'll add about a 1.5 TBSP brunrois shallot with 2 TBSP capers, cook quickly to sweat, then deglaze with just enough wine to pull up the pan fonde (2-3 TBSP), then add the lemon juice (1/2 fresh squeezed lemon per 8 ounce chicken breast), and quickly reduce au sec (until almost completely dry). I then finish with whole butter (1 ounce, cold, cubed), and adjust seasonings.
I've never used cream in a picatta, as binding picatta is easy, thanks to the additional acid from the capers. I will on occasion, use cream as a second reduction (after white wine is reduced) to stabalize a buerre blanc, if it is a large quantity, or for an extended service period, or if I'm unsure about the chemical behavior of one or more components (beet-horseradish for example).
I am not saying I think it's necessary to always follow classical cooking to the highest degree, but proven excellence is rarely frowned upon, and knowledge is vital to growth.