Florence fennel is subject to several different pests and diseases including dryness. The Florence fennel bulbs require a startling amount of water and must never be starved or deprived of it or they will not grow to maturation. Mulching around the plants will also help ensure that the plant has a "mound" built up around the bulb to ensure that it is fully nourished with the soil it needs to grow to maturation. Any less mulch or soil than that and it can be left bare and starved which can cause the entire plant to die before it even gets growing.
Plants must be cut off at the bulb when you want to use the plants or they will not be able to grow back and regenerate the way they are supposed to. The stems and leaves are able to be used in various culinary projects, so cutting at the stem should be the easiest way to get the plant to stay healthy and be able to ensure that the entire plant is used when it is harvested.
Rarely you will find slugs that will eat through the leaves and can possible kill the plant. Other times you may see whiteflies or aphids on the plant, but they rarely spell trouble unless there are truly a plethora of them that can overrun the plants.
Plants will be the best when they are able to reach maturity in mild temperatures. Some cold and heat are endured, but the best temperatures for Florence fennel are mild temperatures between 60 and 79 degrees Fahrenheit.
Anything going wrong with growing Florence fennel can be the result of the plant not making it and the fennel not being usable upon harvesting.