Put the olives in a sieve and drain. Keep some of their liquid to dilute the marinade.
Peel the garlic and cut it into larger slices or cubes. Do not grate it - it will have a milder taste and it will not burn so quickly during cooking.
In a deep frying pan over a low heat, briefly warm the herbes de Provence, rosemary and fennel seeds until fragrant. Do not burn the spices.
Pour olive oil, add garlic and fry briefly. The oil must not smoke and the garlic must not brown.
Reduce heat, add honey and add 1 tbsp. sh. wine or liquid balsamic vinegar. Mix it up.
Add the olives and simmer over low heat for about 5 minutes, stirring occasionally. If the marinade is not enough, add the reserved olive liquid - the olives should be about half covered.
Taste the marinade. If you want more sourness, add a little more vinegar; if spicy - add cayenne or other hot pepper.
Put the olives with the marinade in a clean jar. Cool briefly and refrigerate immediately. Marinate for at least half a day, preferably until the next day.