Cook the spinach in the microwave according to directions on package. Chop spinach coarsely and place in a medium bowl. Stir in the artichokes.
Place pizza crust onto a baking sheet and broil 4-5 inches from heat source until golden, about 30-60 seconds per side.
Carefully remove the pan and leave the broiler on. Evenly spread the spinach mixture over the crust, leaving 1 inch on the edge. Top evenly with both cheeses. Broil until the mozzarella completely melts and the feta is partially melted, about 50-70 seconds. Cut into 6 even wedges.