Preheat the oven to 375°F. Line a 15x10-inch jelly roll pan with parchment paper and spray with nonstick spray. Set it aside.
In a medium-sized mixing bowl whisk together the all-purpose flour, ground cinnamon, baking powder, salt, ground ginger, and ground nutmeg. Set it aside.
Using a stand mixer or a medium-sized mixing bowl and a handheld mixer on high, beat the eggs for 5 minutes, until the eggs are a light frothy yellow.
Add the sugar, vanilla, and oil then continue beating until well combined.
Fold in the flour mixture then fold in the shredded carrots.
Evenly pour and evenly spread the cake batter into the prepared jelly roll pan.
Bake for 10 to 12 minutes.
Remove the cake from the oven. Using a sharp knife, run the tip along the edge of the sides not covered with parchment paper.
Heavily dust the top of the tea towel with powdered sugar.
Immediately place the tea towel on top of the cake.
Lay the cutting board on top of the tea towel.
Quickly flip the cake over, so it is laying on top of the dusted tea towel.
Carefully and slowly peel the parchment paper off of the cake then generously dust the top of the cake with powdered sugar.
Flip one end of the tea towel over one of the short ends of the cake. Carefully begin to roll one end towards the other. Once rolled, set it aside to completely cool.
To make the filling, use a medium-size mixing bowl and a handheld mixer to cream together the cream cheese and butter for 1 to 1½ minutes.
Reduce the mixer speed to low. Add the vanilla and powdered sugar. Increase the mixer speed to medium and blend for another 1 minute until smooth.
To make the glaze, in a small mixing bowl whisk together the powdered sugar and milk until completely smooth then set it aside.
Once the cake completely cools, slowly unroll the cake.
Using a silicone spatula or an offset spatula to smooth the cream cheese mixture over the surface of the cake avoiding the edges.
Slowly with even pressure, carefully and slowly roll the cake only back into a “roll”.
Wrap the carrot cake roll in plastic wrap, to ensure it holds its shape. Allow the cake to chill in the refrigerator for at least 1 hour to overnight.
Before slicing your carrot cake roll, drizzle the glaze over the top in a zigzag pattern.
Using a sharp knife, slice off the ends of the roll. Then carefully slice 10 to 12 even slices.