A wide range of fruit crops are grown in New Zealand. Subtropical plants such as citrus, avocados and persimmons grow in the warm north, while berries, olives and nuts are produced in more temperate regions. quick, easy summary. A wide range of fruit crops are grown in New Zealand. They include oranges, lemons, avocados and persimmons, which grow in the warm north. Berries, olives and nuts grow in cooler areas.