Preheat oven to 400 degrees. Pour salsa verde into the bottom of an 8x8 inch baking dish and spread with a spoon. Set aside.
Line a baking sheet with foil {so you can just toss the mess when you're done}, and place zucchini strips on sheet. Spread about 2 tablespoons of refried beans onto each strip, stopping a half inch or so shy of the end.
Sprinkle each with about a tablespoon {or more, if you'd like} shredded cheese. Carefully roll the strips into a pinwheel until you get to the bare end -- leaving that spot without refried beans will make for "cleaner" rolls. Secure with a toothpick, if needed.
Place the rolls in the baking dish** as close to each other as possible to help make sure they stay rolled up, nestling them down into the salsa verde.
Bake for about 20-25 minutes until the zucchini is tender and the cheese is melted.
Remove from oven and allow to cool slightly before serving {to avoid all the filling falling out}. If desired, dollop a little sour cream {I use nonfat plain Greek yogurt instead} on top. Serve with Mexican rice, or as seen here, with chipotle-infused rice.