Yes, it is okay for a rabbit to eat parsley and it can be a good snack but it needs to be in moderation and a few considerations need to be taken. This vegetable should not be a main part of their diet and moderation is key as it could possibly cause digestive issues and long term health issues if overeaten.
More Detailed Answer
To answer the question can rabbits eat parsley we should consider a few things.
Parsley is not full of nutritional elements that a rabbit requires in order to live a healthy a full life. Therefore rabbits need to also consume rabbit pellets, timothy hay and fresh and clean water on a daily basis.
This vegetable should only be considered a treat and given rarely. Make sure the parsley is washed thoroughly and given raw. Make sure to chop it up to avoid choking hazards.
Give this new food gradually into their diet if they are not use to it in order to avoid digestive issues.
Make sure to give a sensible amount of fresh veggies and fruit to your rabbit. If you are unsure contact your vet or your local pet shop employee for some help.
The most important thing to remember is that this vegetable should only be a good snack and given in small portions and not too often.