Make sure that the plant is not pressed or hurt by anything in the cart or in your car.
Cars in the parking lot tend to heat up extremely in summer, which is not good for any plant, so it is advisable to air and cool your car a bit before you drive off.
Most plants are sensitive to cold, so if you buy them in winter, cover them before taking them to the parking lot or putting them in your unheated car; take some newspapers or a thick linen bag with you to use it as cover. Do not place your plants near the car windows, as they might get cold in the winter and burn in the summer.
Different plants have different tolerance to temperature variations:
At home, take the packaging off the plant.