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Halve the cabbage and cut out the stem. Then cut the rest into chunks.
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Blanch the pieces in salted boiling water for 2 minutes
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Drain and pat dry.
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Peel and Mince the onion.
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Zest and juice the lemon.
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Heat the butter in a large skillet. Add the onion and cook, stirring until transparent.
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Add the vegetable broth and the cream to the pot. Bring to a boil and let simmer for 5 minutes.
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After 5 minutes add the lemon zest. Season with kosher salt and freshly ground pepper.
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Stir in 3 tablespoons of lemon juice.
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Simmer for another 5 minutes.
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Stir a bit of cold water into the cornstarch to make a paste and add it to the mixture, whisking to combine.
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Add the blanched cabbage and stir to coat.
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Turn the heat up to medium-high and cook for another 3 minutes.
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Season again with kosher salt and freshly ground pepper.
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Mix in the chopped lemon balm leaves.
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Transfer to a serving dish, garnish with fresh lemon balm leaves and serve.