Both raw and cooked are fine.
Carrot juice can be consumed both raw and cooked. The reason for this is that carrot juice is extracted from carrots, and carrots themselves are vegetables that can be eaten both raw and cooked, so carrot juice can be drunk either raw or cooked. However, it should be noted that the carrot juice raw and cooked drink slightly different, we can choose to drink according to their own needs.
Expanded Information:
Some carrot juices, especially freshly prepared ones, may not be pasteurized to kill harmful bacteria. Pregnant women, the elderly, young children and people with compromised immune systems should avoid unpasteurized carrot juice.
Additionally drinking large amounts of carrot juice may lead to carotenemia, a condition that causes the skin to turn yellow-orange due to high levels of beta-carotene in the blood. Although there is no substantial harm to the body, it is possible to temporarily remove beta-carotene's from the diet in order for the skin to return to its normal color.
Baidu Encyclopedia - Carrot Juice