Preheat oven to 350°F Place roasting pan in oven to heat.
Blanch the green beans in salted, boiling water until tender. Drain and place in a mixing bowl with the cherry tomatoes and olives. Add 2 tbsp olive oil and a pinch each of salt and pepper.
Rinse salmon fillets and pat dry with paper towels. Squeeze 1/2 lemon over fillets, dressing both sides; reserve the remaining lemons for garnish. Sprinkle both sides of fillets with salt and pepper, and drizzle both sides with remaining olive oil.
Toss basil into vegetables. Place salmon fillets at one end of hot roasting tray; place vegetables at the other end. Lay anchovy fillets over vegetables. Return pan to oven and roast for 10 minute Serve with reserved lemon quarters.