Parsley usually takes 3-4 weeks to germinate and require warm temperatures. After 6-8 weeks you can start transplanting it outside. Parsley requires at least 6 hours of direct sunlight. Make sure you place parsley in a location which meet this requirement.
Make sure that the soil is well drained and keep the soil moist. You can speed up the process by mixing compost and manure in the soil. Every now and then ensure that the soil is not dried. You can easily check the moisture in the soil by sticking your finger in it. If you feel that the soil is bone dry then add some water.