Yes, prescription medicines are generally allowed in hand luggage when flying into the United States from abroad. It's advisable to carry prescription medications in their original packaging, which clearly identifies them with your name, the prescribing doctor's information, and dosage instructions. This helps facilitate the screening process at security checkpoints and provides necessary information in case there are any questions.
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It's also a good idea to carry a copy of your prescription or a letter from your doctor explaining the need for the medication, especially if it's a controlled substance or if you have a large quantity of medication with you. This can help prevent any misunderstandings or delays during screening.
If you have any concerns about specific medications or need further clarification, you can check the Transportation Security Administration (TSA) website or contact your airline for their specific guidelines regarding carrying medications on board.