Mix the egg wash ingredients with a fork in a small bowl until completely whipped.
Spread half of the cooled spinach filling evenly over half of each dough round, leaving a 1-inch border at all edges.
Brush edges with the egg wash. Fold other half of dough over filling, leaving a ½-inch border of bottom half uncovered. Press edges of dough together, flattening out any air pockets.
Starting at one end of calzone, place your index finger diagonally across edge and pull bottom layer of dough over tip of your finger and press to seal.
Using a sharp knife or single-edge razor, cut 5 steam vents about 1½ inches long in the tops of the calzones.
For a crispier crust, brush the tops of the calzones with some of the remaining egg wash.