Adding this herb to add a punch of flavour to your soups, stews, pizzas, or salads is absolutely safe. However, you should avoid taking parsley in high doses during your pregnancy. Parsley is known to stimulate uterus and lead to uterine contractions. It can, therefore, potentially lead to miscarriages.
Taking common medicines during pregnancy, a summary of NHS UK guidelines
You should definitely check with your doctor before taking any medication during pregnancy. Even for medication you were already on at the time of getting pregnant, now needs to be approved by your doctors as