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Heat the oven to 180C/160C fan/gas 4. Butter and line a 900g loaf tin. Beat together the vegan butter block, sugar and lemon zest until combined. Add the plant milk and beat slowly to combine. Add the ground almonds, flour and baking powder, along with the grated courgette, and stir to combine. Spoon the batter into the prepared tin (it will be quite thick) and level the top. Bake for 55-60 mins until a skewer inserted into the middle comes out clean. Transfer to a wire rack and leave to cool completely in the tin.
To make the icing, sieve the icing sugar into a bowl and add 1 tbsp of the lemon juice and stir to combine. Add a little more lemon juice if needed, ½ tsp at a time, until you reach your desired consistency. Remove the cake from the tin and drizzle over the icing, allowing it to drip down the sides. Leave to set for 20-30 mins. Cut into slices to serve.